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Finding the Fourth Proportional to 644.77, 966.88 and 233.97

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Solution

The fourth proportional to 644.77, 966.88 and 233.97 is: 350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.77 : 966.88 = 233.97 : x
  2. Step 2: Convert to fraction form
    644.77/966.88 = 233.97/x
  3. Step 3: Cross multiply
    644.77x = 966.88 × 233.97
  4. Step 4: Simplify right side
    644.77x = 226,220.91
  5. Step 5: Solve for x
    x = 226,220.91/644.77
  6. Step 6: Final answer
    x = 350.86

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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.