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Finding the Fourth Proportional to 819.12, 1,228.84 and 306.16

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Solution

The fourth proportional to 819.12, 1,228.84 and 306.16 is: 459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.12 : 1,228.84 = 306.16 : x
  2. Step 2: Convert to fraction form
    819.12/1,228.84 = 306.16/x
  3. Step 3: Cross multiply
    819.12x = 1,228.84 × 306.16
  4. Step 4: Simplify right side
    819.12x = 376,221.65
  5. Step 5: Solve for x
    x = 376,221.65/819.12
  6. Step 6: Final answer
    x = 459.30

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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.