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Finding the Fourth Proportional to 819.31, 1,229.12 and 271.52

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Solution

The fourth proportional to 819.31, 1,229.12 and 271.52 is: 407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.31 : 1,229.12 = 271.52 : x
  2. Step 2: Convert to fraction form
    819.31/1,229.12 = 271.52/x
  3. Step 3: Cross multiply
    819.31x = 1,229.12 × 271.52
  4. Step 4: Simplify right side
    819.31x = 333,734.41
  5. Step 5: Solve for x
    x = 333,734.41/819.31
  6. Step 6: Final answer
    x = 407.34

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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.