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Finding the Fourth Proportional to 542.89, 748.56 and 513.70

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Solution

The fourth proportional to 542.89, 748.56 and 513.70 is: 708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.89 : 748.56 = 513.70 : x
  2. Step 2: Convert to fraction form
    542.89/748.56 = 513.70/x
  3. Step 3: Cross multiply
    542.89x = 748.56 × 513.70
  4. Step 4: Simplify right side
    542.89x = 384,535.27
  5. Step 5: Solve for x
    x = 384,535.27/542.89
  6. Step 6: Final answer
    x = 708.31

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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.