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Finding the Fourth Proportional to 414.29, 621.41 and 140.38

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Solution

The fourth proportional to 414.29, 621.41 and 140.38 is: 210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.29 : 621.41 = 140.38 : x
  2. Step 2: Convert to fraction form
    414.29/621.41 = 140.38/x
  3. Step 3: Cross multiply
    414.29x = 621.41 × 140.38
  4. Step 4: Simplify right side
    414.29x = 87,232.33
  5. Step 5: Solve for x
    x = 87,232.33/414.29
  6. Step 6: Final answer
    x = 210.56

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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.