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Finding the Fourth Proportional to 549.27, 823.91 and 224.64

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Solution

The fourth proportional to 549.27, 823.91 and 224.64 is: 336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.27 : 823.91 = 224.64 : x
  2. Step 2: Convert to fraction form
    549.27/823.91 = 224.64/x
  3. Step 3: Cross multiply
    549.27x = 823.91 × 224.64
  4. Step 4: Simplify right side
    549.27x = 185,081.93
  5. Step 5: Solve for x
    x = 185,081.93/549.27
  6. Step 6: Final answer
    x = 336.96

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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.