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Finding the Fourth Proportional to 422.65, 633.97 and 231.49

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Solution

The fourth proportional to 422.65, 633.97 and 231.49 is: 347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.65 : 633.97 = 231.49 : x
  2. Step 2: Convert to fraction form
    422.65/633.97 = 231.49/x
  3. Step 3: Cross multiply
    422.65x = 633.97 × 231.49
  4. Step 4: Simplify right side
    422.65x = 146,757.72
  5. Step 5: Solve for x
    x = 146,757.72/422.65
  6. Step 6: Final answer
    x = 347.23

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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.