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Finding the Fourth Proportional to 819.65, 1,229.54 and 332.70

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Solution

The fourth proportional to 819.65, 1,229.54 and 332.70 is: 499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.65 : 1,229.54 = 332.70 : x
  2. Step 2: Convert to fraction form
    819.65/1,229.54 = 332.70/x
  3. Step 3: Cross multiply
    819.65x = 1,229.54 × 332.70
  4. Step 4: Simplify right side
    819.65x = 409,066.29
  5. Step 5: Solve for x
    x = 409,066.29/819.65
  6. Step 6: Final answer
    x = 499.08

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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.