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Finding the Fourth Proportional to 542.13, 748.25 and 318.16

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Solution

The fourth proportional to 542.13, 748.25 and 318.16 is: 439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.13 : 748.25 = 318.16 : x
  2. Step 2: Convert to fraction form
    542.13/748.25 = 318.16/x
  3. Step 3: Cross multiply
    542.13x = 748.25 × 318.16
  4. Step 4: Simplify right side
    542.13x = 238,065.55
  5. Step 5: Solve for x
    x = 238,065.55/542.13
  6. Step 6: Final answer
    x = 439.13

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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.