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Finding the Fourth Proportional to 414.96, 622.56 and 198.48

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Solution

The fourth proportional to 414.96, 622.56 and 198.48 is: 297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.96 : 622.56 = 198.48 : x
  2. Step 2: Convert to fraction form
    414.96/622.56 = 198.48/x
  3. Step 3: Cross multiply
    414.96x = 622.56 × 198.48
  4. Step 4: Simplify right side
    414.96x = 123,565.71
  5. Step 5: Solve for x
    x = 123,565.71/414.96
  6. Step 6: Final answer
    x = 297.78

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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.