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Finding the Fourth Proportional to 725.38, 1,087.61 and 238.31

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Solution

The fourth proportional to 725.38, 1,087.61 and 238.31 is: 357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.38 : 1,087.61 = 238.31 : x
  2. Step 2: Convert to fraction form
    725.38/1,087.61 = 238.31/x
  3. Step 3: Cross multiply
    725.38x = 1,087.61 × 238.31
  4. Step 4: Simplify right side
    725.38x = 259,188.34
  5. Step 5: Solve for x
    x = 259,188.34/725.38
  6. Step 6: Final answer
    x = 357.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.