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Finding the Fourth Proportional to 414.77, 622.15 and 154.78

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Solution

The fourth proportional to 414.77, 622.15 and 154.78 is: 232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.77 : 622.15 = 154.78 : x
  2. Step 2: Convert to fraction form
    414.77/622.15 = 154.78/x
  3. Step 3: Cross multiply
    414.77x = 622.15 × 154.78
  4. Step 4: Simplify right side
    414.77x = 96,294.43
  5. Step 5: Solve for x
    x = 96,294.43/414.77
  6. Step 6: Final answer
    x = 232.17

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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.