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Finding the Fourth Proportional to 819.38, 1,229.07 and 242.25

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Solution

The fourth proportional to 819.38, 1,229.07 and 242.25 is: 363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.38 : 1,229.07 = 242.25 : x
  2. Step 2: Convert to fraction form
    819.38/1,229.07 = 242.25/x
  3. Step 3: Cross multiply
    819.38x = 1,229.07 × 242.25
  4. Step 4: Simplify right side
    819.38x = 297,742.21
  5. Step 5: Solve for x
    x = 297,742.21/819.38
  6. Step 6: Final answer
    x = 363.38

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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.