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Finding the Fourth Proportional to 542.59, 814.14 and 265.29

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Solution

The fourth proportional to 542.59, 814.14 and 265.29 is: 398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.59 : 814.14 = 265.29 : x
  2. Step 2: Convert to fraction form
    542.59/814.14 = 265.29/x
  3. Step 3: Cross multiply
    542.59x = 814.14 × 265.29
  4. Step 4: Simplify right side
    542.59x = 215,982.60
  5. Step 5: Solve for x
    x = 215,982.60/542.59
  6. Step 6: Final answer
    x = 398.06

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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.