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Finding the Fourth Proportional to 414.85, 622.54 and 232.37

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Solution

The fourth proportional to 414.85, 622.54 and 232.37 is: 348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.85 : 622.54 = 232.37 : x
  2. Step 2: Convert to fraction form
    414.85/622.54 = 232.37/x
  3. Step 3: Cross multiply
    414.85x = 622.54 × 232.37
  4. Step 4: Simplify right side
    414.85x = 144,659.62
  5. Step 5: Solve for x
    x = 144,659.62/414.85
  6. Step 6: Final answer
    x = 348.70

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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.