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Finding the Fourth Proportional to 542.49, 743.76 and 532.65

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Solution

The fourth proportional to 542.49, 743.76 and 532.65 is: 730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.49 : 743.76 = 532.65 : x
  2. Step 2: Convert to fraction form
    542.49/743.76 = 532.65/x
  3. Step 3: Cross multiply
    542.49x = 743.76 × 532.65
  4. Step 4: Simplify right side
    542.49x = 396,163.76
  5. Step 5: Solve for x
    x = 396,163.76/542.49
  6. Step 6: Final answer
    x = 730.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.