Sure! Here are the completions for each of the sentences based on the context of European exploration:
- Christopher Columbus was originally seeking a new route to Asia.
- Amerigo Vespucci explored and mapped the coast of South America between 1499 and 1501.
- Hernando de Soto explored southeastern North America in 1540.
- Ferdinand Magellan sailed around the world in 1520.
Let me know if you have any other questions!