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Finding the Fourth Proportional to 549.48, 824.09 and 224.85

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Solution

The fourth proportional to 549.48, 824.09 and 224.85 is: 337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.48 : 824.09 = 224.85 : x
  2. Step 2: Convert to fraction form
    549.48/824.09 = 224.85/x
  3. Step 3: Cross multiply
    549.48x = 824.09 × 224.85
  4. Step 4: Simplify right side
    549.48x = 185,295.51
  5. Step 5: Solve for x
    x = 185,295.51/549.48
  6. Step 6: Final answer
    x = 337.22

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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.