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Finding the Fourth Proportional to 414.66, 621.89 and 140.71

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Solution

The fourth proportional to 414.66, 621.89 and 140.71 is: 211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.66 : 621.89 = 140.71 : x
  2. Step 2: Convert to fraction form
    414.66/621.89 = 140.71/x
  3. Step 3: Cross multiply
    414.66x = 621.89 × 140.71
  4. Step 4: Simplify right side
    414.66x = 87,506.14
  5. Step 5: Solve for x
    x = 87,506.14/414.66
  6. Step 6: Final answer
    x = 211.03

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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.