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Finding the Fourth Proportional to 414.87, 622.32 and 126.33

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Solution

The fourth proportional to 414.87, 622.32 and 126.33 is: 189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.87 : 622.32 = 126.33 : x
  2. Step 2: Convert to fraction form
    414.87/622.32 = 126.33/x
  3. Step 3: Cross multiply
    414.87x = 622.32 × 126.33
  4. Step 4: Simplify right side
    414.87x = 78,617.69
  5. Step 5: Solve for x
    x = 78,617.69/414.87
  6. Step 6: Final answer
    x = 189.50

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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.