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Finding the Fourth Proportional to 414.87, 622.08 and 198.60

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Solution

The fourth proportional to 414.87, 622.08 and 198.60 is: 297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.87 : 622.08 = 198.60 : x
  2. Step 2: Convert to fraction form
    414.87/622.08 = 198.60/x
  3. Step 3: Cross multiply
    414.87x = 622.08 × 198.60
  4. Step 4: Simplify right side
    414.87x = 123,545.09
  5. Step 5: Solve for x
    x = 123,545.09/414.87
  6. Step 6: Final answer
    x = 297.79

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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.