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Finding the Fourth Proportional to 372.38, 514.14 and 232.71

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Solution

The fourth proportional to 372.38, 514.14 and 232.71 is: 321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.38 : 514.14 = 232.71 : x
  2. Step 2: Convert to fraction form
    372.38/514.14 = 232.71/x
  3. Step 3: Cross multiply
    372.38x = 514.14 × 232.71
  4. Step 4: Simplify right side
    372.38x = 119,645.52
  5. Step 5: Solve for x
    x = 119,645.52/372.38
  6. Step 6: Final answer
    x = 321.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.