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Finding the Fourth Proportional to 549.24, 824.46 and 224.82

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Solution

The fourth proportional to 549.24, 824.46 and 224.82 is: 337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 824.46 = 224.82 : x
  2. Step 2: Convert to fraction form
    549.24/824.46 = 224.82/x
  3. Step 3: Cross multiply
    549.24x = 824.46 × 224.82
  4. Step 4: Simplify right side
    549.24x = 185,355.10
  5. Step 5: Solve for x
    x = 185,355.10/549.24
  6. Step 6: Final answer
    x = 337.48

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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.