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Finding the Fourth Proportional to 414.48, 620.46 and 251.64

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Solution

The fourth proportional to 414.48, 620.46 and 251.64 is: 376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.48 : 620.46 = 251.64 : x
  2. Step 2: Convert to fraction form
    414.48/620.46 = 251.64/x
  3. Step 3: Cross multiply
    414.48x = 620.46 × 251.64
  4. Step 4: Simplify right side
    414.48x = 156,132.55
  5. Step 5: Solve for x
    x = 156,132.55/414.48
  6. Step 6: Final answer
    x = 376.70

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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.