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Finding the Fourth Proportional to 549.41, 824.11 and 224.55

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Solution

The fourth proportional to 549.41, 824.11 and 224.55 is: 336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.41 : 824.11 = 224.55 : x
  2. Step 2: Convert to fraction form
    549.41/824.11 = 224.55/x
  3. Step 3: Cross multiply
    549.41x = 824.11 × 224.55
  4. Step 4: Simplify right side
    549.41x = 185,053.34
  5. Step 5: Solve for x
    x = 185,053.34/549.41
  6. Step 6: Final answer
    x = 336.83

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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.