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Finding the Fourth Proportional to 549.33, 823.97 and 224.69

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Solution

The fourth proportional to 549.33, 823.97 and 224.69 is: 337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.33 : 823.97 = 224.69 : x
  2. Step 2: Convert to fraction form
    549.33/823.97 = 224.69/x
  3. Step 3: Cross multiply
    549.33x = 823.97 × 224.69
  4. Step 4: Simplify right side
    549.33x = 185,132.58
  5. Step 5: Solve for x
    x = 185,132.58/549.33
  6. Step 6: Final answer
    x = 337.02

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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.