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Finding the Fourth Proportional to 642.38, 963.32 and 231.44

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Solution

The fourth proportional to 642.38, 963.32 and 231.44 is: 347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.38 : 963.32 = 231.44 : x
  2. Step 2: Convert to fraction form
    642.38/963.32 = 231.44/x
  3. Step 3: Cross multiply
    642.38x = 963.32 × 231.44
  4. Step 4: Simplify right side
    642.38x = 222,950.78
  5. Step 5: Solve for x
    x = 222,950.78/642.38
  6. Step 6: Final answer
    x = 347.07

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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.