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Finding the Fourth Proportional to 542.25, 747.92 and 534.15

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Solution

The fourth proportional to 542.25, 747.92 and 534.15 is: 736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 747.92 = 534.15 : x
  2. Step 2: Convert to fraction form
    542.25/747.92 = 534.15/x
  3. Step 3: Cross multiply
    542.25x = 747.92 × 534.15
  4. Step 4: Simplify right side
    542.25x = 399,498.80
  5. Step 5: Solve for x
    x = 399,498.80/542.25
  6. Step 6: Final answer
    x = 736.74

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Double scale
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1.5x scale

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.