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Finding the Fourth Proportional to 819.77, 1,228.86 and 332.46

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Solution

The fourth proportional to 819.77, 1,228.86 and 332.46 is: 498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.77 : 1,228.86 = 332.46 : x
  2. Step 2: Convert to fraction form
    819.77/1,228.86 = 332.46/x
  3. Step 3: Cross multiply
    819.77x = 1,228.86 × 332.46
  4. Step 4: Simplify right side
    819.77x = 408,546.80
  5. Step 5: Solve for x
    x = 408,546.80/819.77
  6. Step 6: Final answer
    x = 498.37

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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.