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Finding the Fourth Proportional to 549.44, 824.12 and 224.82

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Solution

The fourth proportional to 549.44, 824.12 and 224.82 is: 337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.44 : 824.12 = 224.82 : x
  2. Step 2: Convert to fraction form
    549.44/824.12 = 224.82/x
  3. Step 3: Cross multiply
    549.44x = 824.12 × 224.82
  4. Step 4: Simplify right side
    549.44x = 185,278.66
  5. Step 5: Solve for x
    x = 185,278.66/549.44
  6. Step 6: Final answer
    x = 337.21

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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.