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Finding the Fourth Proportional to 549.75, 757.56 and 392.11

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Solution

The fourth proportional to 549.75, 757.56 and 392.11 is: 540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.75 : 757.56 = 392.11 : x
  2. Step 2: Convert to fraction form
    549.75/757.56 = 392.11/x
  3. Step 3: Cross multiply
    549.75x = 757.56 × 392.11
  4. Step 4: Simplify right side
    549.75x = 297,046.43
  5. Step 5: Solve for x
    x = 297,046.43/549.75
  6. Step 6: Final answer
    x = 540.33

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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.