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Finding the Fourth Proportional to 549.88, 824.72 and 354.87

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Solution

The fourth proportional to 549.88, 824.72 and 354.87 is: 532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.88 : 824.72 = 354.87 : x
  2. Step 2: Convert to fraction form
    549.88/824.72 = 354.87/x
  3. Step 3: Cross multiply
    549.88x = 824.72 × 354.87
  4. Step 4: Simplify right side
    549.88x = 292,666.61
  5. Step 5: Solve for x
    x = 292,666.61/549.88
  6. Step 6: Final answer
    x = 532.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.