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Finding the Fourth Proportional to 819.81, 1,229.72 and 332.53

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Solution

The fourth proportional to 819.81, 1,229.72 and 332.53 is: 498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.81 : 1,229.72 = 332.53 : x
  2. Step 2: Convert to fraction form
    819.81/1,229.72 = 332.53/x
  3. Step 3: Cross multiply
    819.81x = 1,229.72 × 332.53
  4. Step 4: Simplify right side
    819.81x = 408,914.05
  5. Step 5: Solve for x
    x = 408,914.05/819.81
  6. Step 6: Final answer
    x = 498.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.