The scale on a map indicates that 1 inch on the map corresponds to actual distance of 100 miles. two cities are 4.7 inches apart on the map. what is the actual distance between the two cities? round your answer to one decimal place

For me, I use proportion to solve this kind of problems.
Not that 1 inch = 100 miles; set up your proportion:

   1 inch     = 100 miles
    
4.7 inches =    x  miles

*Cross, multiple and divide: 4.7 x 100 / 1 which equals 470 miles.

The actual distance between the two cities is 470 miles.