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Finding the Fourth Proportional to 414.89, 622.46 and 140.96

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Solution

The fourth proportional to 414.89, 622.46 and 140.96 is: 211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.89 : 622.46 = 140.96 : x
  2. Step 2: Convert to fraction form
    414.89/622.46 = 140.96/x
  3. Step 3: Cross multiply
    414.89x = 622.46 × 140.96
  4. Step 4: Simplify right side
    414.89x = 87,741.96
  5. Step 5: Solve for x
    x = 87,741.96/414.89
  6. Step 6: Final answer
    x = 211.48

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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.