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Finding the Fourth Proportional to 542.14, 748.10 and 318.04

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Solution

The fourth proportional to 542.14, 748.10 and 318.04 is: 438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.14 : 748.10 = 318.04 : x
  2. Step 2: Convert to fraction form
    542.14/748.10 = 318.04/x
  3. Step 3: Cross multiply
    542.14x = 748.10 × 318.04
  4. Step 4: Simplify right side
    542.14x = 237,925.72
  5. Step 5: Solve for x
    x = 237,925.72/542.14
  6. Step 6: Final answer
    x = 438.86

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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.