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Finding the Fourth Proportional to 414.96, 622.86 and 198.70

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Solution

The fourth proportional to 414.96, 622.86 and 198.70 is: 298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.96 : 622.86 = 198.70 : x
  2. Step 2: Convert to fraction form
    414.96/622.86 = 198.70/x
  3. Step 3: Cross multiply
    414.96x = 622.86 × 198.70
  4. Step 4: Simplify right side
    414.96x = 123,762.28
  5. Step 5: Solve for x
    x = 123,762.28/414.96
  6. Step 6: Final answer
    x = 298.25

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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.