bugfix: the 240V to the voltage between a phase and ground
This is possible, but more likely is a phase-to-phase in a delta configured transformer. In that case there is no ground delivered to the distribution panel, just two phases (or three).
In the EU the 380V (now nominally 400V) relates to tri-phase, the 240V to the voltage between a phase and ground.
Tri-phase power in the United States is available to residential consumers and very light industry (say a small farm) at a number of different voltages up to 480V.
The 240V in the united states is between two 'lives' that are both 120V and that are usually delivered on a center tapped transformer with the center being the neutral. Adding those two together gives you the 240V, but it all comes from a single phase, it's just a center tapped transformer with a 240V winding as the secondary.
You can easily see this when you look at your typical drop transformer that will take a 10KV low voltage distribution line to domestic voltages, where three phase power is required you'll see three transformers in a bank, one for each phase. A typical residence will have only one because in North America single phase power is the norm for distribution.
https://www.mytpu.org/wp-content/uploads/wires.jpg
Is pretty typical in NA.
So a typical drop will have a distribution neutral and a single distribution phase going in to the transformer and three wires coming back out: L1, N and L2 with L1 and L2 being the outside legs of the winding. In your distribution panel you then add your residential ground.