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\frac{7383}{7600}=x_{0}\times 0.08\times 300
Expand \frac{738.3}{760} by multiplying both numerator and the denominator by 10.
\frac{7383}{7600}=x_{0}\times 24
Multiply 0.08 and 300 to get 24.
x_{0}\times 24=\frac{7383}{7600}
Swap sides so that all variable terms are on the left hand side.
x_{0}=\frac{\frac{7383}{7600}}{24}
Divide both sides by 24.
x_{0}=\frac{7383}{7600\times 24}
Express \frac{\frac{7383}{7600}}{24} as a single fraction.
x_{0}=\frac{7383}{182400}
Multiply 7600 and 24 to get 182400.
x_{0}=\frac{2461}{60800}
Reduce the fraction \frac{7383}{182400} to lowest terms by extracting and canceling out 3.