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Finding the Fourth Proportional to 549.75, 759.17 and 353.61

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Solution

The fourth proportional to 549.75, 759.17 and 353.61 is: 488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.75 : 759.17 = 353.61 : x
  2. Step 2: Convert to fraction form
    549.75/759.17 = 353.61/x
  3. Step 3: Cross multiply
    549.75x = 759.17 × 353.61
  4. Step 4: Simplify right side
    549.75x = 268,447.19
  5. Step 5: Solve for x
    x = 268,447.19/549.75
  6. Step 6: Final answer
    x = 488.31

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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.