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Finding the Fourth Proportional to 644.61, 966.89 and 233.78

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Solution

The fourth proportional to 644.61, 966.89 and 233.78 is: 350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.61 : 966.89 = 233.78 : x
  2. Step 2: Convert to fraction form
    644.61/966.89 = 233.78/x
  3. Step 3: Cross multiply
    644.61x = 966.89 × 233.78
  4. Step 4: Simplify right side
    644.61x = 226,033.54
  5. Step 5: Solve for x
    x = 226,033.54/644.61
  6. Step 6: Final answer
    x = 350.65

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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.