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Finding the Fourth Proportional to 414.54, 620.46 and 251.46

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Solution

The fourth proportional to 414.54, 620.46 and 251.46 is: 376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.54 : 620.46 = 251.46 : x
  2. Step 2: Convert to fraction form
    414.54/620.46 = 251.46/x
  3. Step 3: Cross multiply
    414.54x = 620.46 × 251.46
  4. Step 4: Simplify right side
    414.54x = 156,020.87
  5. Step 5: Solve for x
    x = 156,020.87/414.54
  6. Step 6: Final answer
    x = 376.37

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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.