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Finding the Fourth Proportional to 542.14, 748.17 and 309.22

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Solution

The fourth proportional to 542.14, 748.17 and 309.22 is: 426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.14 : 748.17 = 309.22 : x
  2. Step 2: Convert to fraction form
    542.14/748.17 = 309.22/x
  3. Step 3: Cross multiply
    542.14x = 748.17 × 309.22
  4. Step 4: Simplify right side
    542.14x = 231,349.13
  5. Step 5: Solve for x
    x = 231,349.13/542.14
  6. Step 6: Final answer
    x = 426.73

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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.