Answer
$362.5\;mi$.
Work Step by Step
The given values are
$\frac{1}{4}\;in.\rightarrow 25\;mi$
Let
$3\frac{5}{8}\;in. \rightarrow x$.
Both ratios are equal.
$\Rightarrow \frac{\frac{1}{4}\;in.}{25\;mi}=\frac{3\frac{5}{8}\;in.}{x}$
Simplify.
$\Rightarrow \frac{\frac{1}{4}\;in.}{25\;mi}=\frac{\frac{29}{8}\;in.}{x}$
Isolate $x$.
$\Rightarrow x=25\times \frac{29}{2}\;mi$
Simplify.
$\Rightarrow x=362.5\;mi$.
