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Finding the Fourth Proportional to 819.46, 1,228.10 and 298.97

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Solution

The fourth proportional to 819.46, 1,228.10 and 298.97 is: 448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.46 : 1,228.10 = 298.97 : x
  2. Step 2: Convert to fraction form
    819.46/1,228.10 = 298.97/x
  3. Step 3: Cross multiply
    819.46x = 1,228.10 × 298.97
  4. Step 4: Simplify right side
    819.46x = 367,163.56
  5. Step 5: Solve for x
    x = 367,163.56/819.46
  6. Step 6: Final answer
    x = 448.06

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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.