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Finding the Fourth Proportional to 542.28, 748.16 and 345.90

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Solution

The fourth proportional to 542.28, 748.16 and 345.90 is: 477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.28 : 748.16 = 345.90 : x
  2. Step 2: Convert to fraction form
    542.28/748.16 = 345.90/x
  3. Step 3: Cross multiply
    542.28x = 748.16 × 345.90
  4. Step 4: Simplify right side
    542.28x = 258,791.89
  5. Step 5: Solve for x
    x = 258,791.89/542.28
  6. Step 6: Final answer
    x = 477.23

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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.