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Finding the Fourth Proportional to 542.57, 748.34 and 346.14

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Solution

The fourth proportional to 542.57, 748.34 and 346.14 is: 477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.57 : 748.34 = 346.14 : x
  2. Step 2: Convert to fraction form
    542.57/748.34 = 346.14/x
  3. Step 3: Cross multiply
    542.57x = 748.34 × 346.14
  4. Step 4: Simplify right side
    542.57x = 259,029.97
  5. Step 5: Solve for x
    x = 259,029.97/542.57
  6. Step 6: Final answer
    x = 477.42

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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.