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Finding the Fourth Proportional to 542.71, 748.56 and 346.13

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Solution

The fourth proportional to 542.71, 748.56 and 346.13 is: 477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.71 : 748.56 = 346.13 : x
  2. Step 2: Convert to fraction form
    542.71/748.56 = 346.13/x
  3. Step 3: Cross multiply
    542.71x = 748.56 × 346.13
  4. Step 4: Simplify right side
    542.71x = 259,101.81
  5. Step 5: Solve for x
    x = 259,101.81/542.71
  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.