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Finding the Fourth Proportional to 414.66, 621.88 and 140.74

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Solution

The fourth proportional to 414.66, 621.88 and 140.74 is: 211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.66 : 621.88 = 140.74 : x
  2. Step 2: Convert to fraction form
    414.66/621.88 = 140.74/x
  3. Step 3: Cross multiply
    414.66x = 621.88 × 140.74
  4. Step 4: Simplify right side
    414.66x = 87,523.39
  5. Step 5: Solve for x
    x = 87,523.39/414.66
  6. Step 6: Final answer
    x = 211.07

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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.