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Finding the Fourth Proportional to 549.50, 824.52 and 225.14

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Solution

The fourth proportional to 549.50, 824.52 and 225.14 is: 337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.50 : 824.52 = 225.14 : x
  2. Step 2: Convert to fraction form
    549.50/824.52 = 225.14/x
  3. Step 3: Cross multiply
    549.50x = 824.52 × 225.14
  4. Step 4: Simplify right side
    549.50x = 185,632.43
  5. Step 5: Solve for x
    x = 185,632.43/549.50
  6. Step 6: Final answer
    x = 337.82

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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.