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Finding the Fourth Proportional to 819.16, 1,228.34 and 331.84

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Solution

The fourth proportional to 819.16, 1,228.34 and 331.84 is: 497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.16 : 1,228.34 = 331.84 : x
  2. Step 2: Convert to fraction form
    819.16/1,228.34 = 331.84/x
  3. Step 3: Cross multiply
    819.16x = 1,228.34 × 331.84
  4. Step 4: Simplify right side
    819.16x = 407,612.35
  5. Step 5: Solve for x
    x = 407,612.35/819.16
  6. Step 6: Final answer
    x = 497.60

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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.