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Finding the Fourth Proportional to 414.25, 621.38 and 140.32

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Solution

The fourth proportional to 414.25, 621.38 and 140.32 is: 210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.25 : 621.38 = 140.32 : x
  2. Step 2: Convert to fraction form
    414.25/621.38 = 140.32/x
  3. Step 3: Cross multiply
    414.25x = 621.38 × 140.32
  4. Step 4: Simplify right side
    414.25x = 87,192.04
  5. Step 5: Solve for x
    x = 87,192.04/414.25
  6. Step 6: Final answer
    x = 210.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.