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Finding the Fourth Proportional to 643.62, 965.85 and 232.78

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Solution

The fourth proportional to 643.62, 965.85 and 232.78 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.62 : 965.85 = 232.78 : x
  2. Step 2: Convert to fraction form
    643.62/965.85 = 232.78/x
  3. Step 3: Cross multiply
    643.62x = 965.85 × 232.78
  4. Step 4: Simplify right side
    643.62x = 224,830.56
  5. Step 5: Solve for x
    x = 224,830.56/643.62
  6. Step 6: Final answer
    x = 349.32

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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.