$$ \begin{aligned} 240 &= 300\cdot\frac{598}{x}&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot240 &= x\cdot300\cdot\frac{598}{x}&& \text{cancel out the denominators} \\[1 em]240x &= 179400&& \text{ divide both sides by $ 240 $ } \\[1 em]x &= \frac{179400}{240}&& \\[1 em]x &= \frac{1495}{2}&& \\[1 em] \end{aligned} $$
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