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Finding the Fourth Proportional to 819.48, 1,229.26 and 332.66

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Solution

The fourth proportional to 819.48, 1,229.26 and 332.66 is: 499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.48 : 1,229.26 = 332.66 : x
  2. Step 2: Convert to fraction form
    819.48/1,229.26 = 332.66/x
  3. Step 3: Cross multiply
    819.48x = 1,229.26 × 332.66
  4. Step 4: Simplify right side
    819.48x = 408,925.63
  5. Step 5: Solve for x
    x = 408,925.63/819.48
  6. Step 6: Final answer
    x = 499.01

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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.