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Finding the Fourth Proportional to 414.68, 622.15 and 252.41

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Solution

The fourth proportional to 414.68, 622.15 and 252.41 is: 378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 622.15 = 252.41 : x
  2. Step 2: Convert to fraction form
    414.68/622.15 = 252.41/x
  3. Step 3: Cross multiply
    414.68x = 622.15 × 252.41
  4. Step 4: Simplify right side
    414.68x = 157,033.14
  5. Step 5: Solve for x
    x = 157,033.14/414.68
  6. Step 6: Final answer
    x = 378.69

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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.