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Finding the Fourth Proportional to 819.46, 1,229.19 and 242.29

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Solution

The fourth proportional to 819.46, 1,229.19 and 242.29 is: 363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.46 : 1,229.19 = 242.29 : x
  2. Step 2: Convert to fraction form
    819.46/1,229.19 = 242.29/x
  3. Step 3: Cross multiply
    819.46x = 1,229.19 × 242.29
  4. Step 4: Simplify right side
    819.46x = 297,820.45
  5. Step 5: Solve for x
    x = 297,820.45/819.46
  6. Step 6: Final answer
    x = 363.44

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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.