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Finding the Fourth Proportional to 546.92, 749.67 and 539.24

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Solution

The fourth proportional to 546.92, 749.67 and 539.24 is: 739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.92 : 749.67 = 539.24 : x
  2. Step 2: Convert to fraction form
    546.92/749.67 = 539.24/x
  3. Step 3: Cross multiply
    546.92x = 749.67 × 539.24
  4. Step 4: Simplify right side
    546.92x = 404,245.61
  5. Step 5: Solve for x
    x = 404,245.61/546.92
  6. Step 6: Final answer
    x = 739.13

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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.