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Finding the Fourth Proportional to 508.38, 761.73 and 292.14

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Solution

The fourth proportional to 508.38, 761.73 and 292.14 is: 437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.38 : 761.73 = 292.14 : x
  2. Step 2: Convert to fraction form
    508.38/761.73 = 292.14/x
  3. Step 3: Cross multiply
    508.38x = 761.73 × 292.14
  4. Step 4: Simplify right side
    508.38x = 222,531.80
  5. Step 5: Solve for x
    x = 222,531.80/508.38
  6. Step 6: Final answer
    x = 437.73

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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.