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Finding the Fourth Proportional to 819.71, 1,229.65 and 264.23

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Solution

The fourth proportional to 819.71, 1,229.65 and 264.23 is: 396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.71 : 1,229.65 = 264.23 : x
  2. Step 2: Convert to fraction form
    819.71/1,229.65 = 264.23/x
  3. Step 3: Cross multiply
    819.71x = 1,229.65 × 264.23
  4. Step 4: Simplify right side
    819.71x = 324,910.42
  5. Step 5: Solve for x
    x = 324,910.42/819.71
  6. Step 6: Final answer
    x = 396.37

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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.