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Finding the Fourth Proportional to 819.38, 1,228.14 and 271.42

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Solution

The fourth proportional to 819.38, 1,228.14 and 271.42 is: 406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.38 : 1,228.14 = 271.42 : x
  2. Step 2: Convert to fraction form
    819.38/1,228.14 = 271.42/x
  3. Step 3: Cross multiply
    819.38x = 1,228.14 × 271.42
  4. Step 4: Simplify right side
    819.38x = 333,341.76
  5. Step 5: Solve for x
    x = 333,341.76/819.38
  6. Step 6: Final answer
    x = 406.82

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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.