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Finding the Fourth Proportional to 414.76, 622.14 and 198.29

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Solution

The fourth proportional to 414.76, 622.14 and 198.29 is: 297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.76 : 622.14 = 198.29 : x
  2. Step 2: Convert to fraction form
    414.76/622.14 = 198.29/x
  3. Step 3: Cross multiply
    414.76x = 622.14 × 198.29
  4. Step 4: Simplify right side
    414.76x = 123,364.64
  5. Step 5: Solve for x
    x = 123,364.64/414.76
  6. Step 6: Final answer
    x = 297.43

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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.