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Finding the Fourth Proportional to 542.25, 748.13 and 318.14

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Solution

The fourth proportional to 542.25, 748.13 and 318.14 is: 438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 748.13 = 318.14 : x
  2. Step 2: Convert to fraction form
    542.25/748.13 = 318.14/x
  3. Step 3: Cross multiply
    542.25x = 748.13 × 318.14
  4. Step 4: Simplify right side
    542.25x = 238,004.75
  5. Step 5: Solve for x
    x = 238,004.75/542.25
  6. Step 6: Final answer
    x = 438.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.