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Finding the Fourth Proportional to 549.12, 757.92 and 523.08

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Solution

The fourth proportional to 549.12, 757.92 and 523.08 is: 721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.12 : 757.92 = 523.08 : x
  2. Step 2: Convert to fraction form
    549.12/757.92 = 523.08/x
  3. Step 3: Cross multiply
    549.12x = 757.92 × 523.08
  4. Step 4: Simplify right side
    549.12x = 396,452.79
  5. Step 5: Solve for x
    x = 396,452.79/549.12
  6. Step 6: Final answer
    x = 721.98

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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.