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Finding the Fourth Proportional to 731.96, 1,098.09 and 238.49

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Solution

The fourth proportional to 731.96, 1,098.09 and 238.49 is: 357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.96 : 1,098.09 = 238.49 : x
  2. Step 2: Convert to fraction form
    731.96/1,098.09 = 238.49/x
  3. Step 3: Cross multiply
    731.96x = 1,098.09 × 238.49
  4. Step 4: Simplify right side
    731.96x = 261,882.11
  5. Step 5: Solve for x
    x = 261,882.11/731.96
  6. Step 6: Final answer
    x = 357.78

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Why These Related Problems?

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