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Finding the Fourth Proportional to 643.59, 965.33 and 232.70

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Solution

The fourth proportional to 643.59, 965.33 and 232.70 is: 349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.59 : 965.33 = 232.70 : x
  2. Step 2: Convert to fraction form
    643.59/965.33 = 232.70/x
  3. Step 3: Cross multiply
    643.59x = 965.33 × 232.70
  4. Step 4: Simplify right side
    643.59x = 224,626.30
  5. Step 5: Solve for x
    x = 224,626.30/643.59
  6. Step 6: Final answer
    x = 349.02

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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.