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Finding the Fourth Proportional to 592.38, 886.68 and 499.14

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Solution

The fourth proportional to 592.38, 886.68 and 499.14 is: 747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.38 : 886.68 = 499.14 : x
  2. Step 2: Convert to fraction form
    592.38/886.68 = 499.14/x
  3. Step 3: Cross multiply
    592.38x = 886.68 × 499.14
  4. Step 4: Simplify right side
    592.38x = 442,577.46
  5. Step 5: Solve for x
    x = 442,577.46/592.38
  6. Step 6: Final answer
    x = 747.12

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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.