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Finding the Fourth Proportional to 549.42, 823.86 and 224.76

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Solution

The fourth proportional to 549.42, 823.86 and 224.76 is: 337.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.42 : 823.86 = 224.76 : x
  2. Step 2: Convert to fraction form
    549.42/823.86 = 224.76/x
  3. Step 3: Cross multiply
    549.42x = 823.86 × 224.76
  4. Step 4: Simplify right side
    549.42x = 185,170.77
  5. Step 5: Solve for x
    x = 185,170.77/549.42
  6. Step 6: Final answer
    x = 337.03

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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.