A submarine was at a depth of 106.3 feet below sea level. After five hours the submarine was at 481.2 feet below sea level. How far did the submarine travel?

The submarine traveled a distance of 481.2 - 106.3 = <<481.2-106.3=374.9>>374.9 feet. Answer: \boxed{374.9}.

To find out how far the submarine traveled, we need to calculate the difference in depth between the starting point and the ending point.

The starting depth of the submarine is 106.3 feet below sea level, and after 5 hours, it is at 481.2 feet below sea level.

To find the difference in depth, we subtract the initial depth from the final depth: 481.2 - 106.3 = 374.9 feet.

Therefore, the submarine traveled a distance of 374.9 feet.