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Finding the Fourth Proportional to 819.92, 1,230.39 and 357.71

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Solution

The fourth proportional to 819.92, 1,230.39 and 357.71 is: 536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.92 : 1,230.39 = 357.71 : x
  2. Step 2: Convert to fraction form
    819.92/1,230.39 = 357.71/x
  3. Step 3: Cross multiply
    819.92x = 1,230.39 × 357.71
  4. Step 4: Simplify right side
    819.92x = 440,116.65
  5. Step 5: Solve for x
    x = 440,116.65/819.92
  6. Step 6: Final answer
    x = 536.78

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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.