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Finding the Fourth Proportional to 549.29, 824.25 and 224.66

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Solution

The fourth proportional to 549.29, 824.25 and 224.66 is: 337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.29 : 824.25 = 224.66 : x
  2. Step 2: Convert to fraction form
    549.29/824.25 = 224.66/x
  3. Step 3: Cross multiply
    549.29x = 824.25 × 224.66
  4. Step 4: Simplify right side
    549.29x = 185,176.01
  5. Step 5: Solve for x
    x = 185,176.01/549.29
  6. Step 6: Final answer
    x = 337.12

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Why These Related Problems?

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