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Finding the Fourth Proportional to 414.09, 621 and 140.13

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Solution

The fourth proportional to 414.09, 621 and 140.13 is: 210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.09 : 621 = 140.13 : x
  2. Step 2: Convert to fraction form
    414.09/621 = 140.13/x
  3. Step 3: Cross multiply
    414.09x = 621 × 140.13
  4. Step 4: Simplify right side
    414.09x = 87,020.73
  5. Step 5: Solve for x
    x = 87,020.73/414.09
  6. Step 6: Final answer
    x = 210.15

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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.