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Finding the Fourth Proportional to 414.68, 622.42 and 198.22

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Solution

The fourth proportional to 414.68, 622.42 and 198.22 is: 297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 622.42 = 198.22 : x
  2. Step 2: Convert to fraction form
    414.68/622.42 = 198.22/x
  3. Step 3: Cross multiply
    414.68x = 622.42 × 198.22
  4. Step 4: Simplify right side
    414.68x = 123,376.09
  5. Step 5: Solve for x
    x = 123,376.09/414.68
  6. Step 6: Final answer
    x = 297.52

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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.