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Finding the Fourth Proportional to 414.46, 622.20 and 197.92

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Solution

The fourth proportional to 414.46, 622.20 and 197.92 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.46 : 622.20 = 197.92 : x
  2. Step 2: Convert to fraction form
    414.46/622.20 = 197.92/x
  3. Step 3: Cross multiply
    414.46x = 622.20 × 197.92
  4. Step 4: Simplify right side
    414.46x = 123,145.82
  5. Step 5: Solve for x
    x = 123,145.82/414.46
  6. Step 6: Final answer
    x = 297.12

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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.