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Finding the Fourth Proportional to 644.73, 966.86 and 233.76

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Solution

The fourth proportional to 644.73, 966.86 and 233.76 is: 350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.73 : 966.86 = 233.76 : x
  2. Step 2: Convert to fraction form
    644.73/966.86 = 233.76/x
  3. Step 3: Cross multiply
    644.73x = 966.86 × 233.76
  4. Step 4: Simplify right side
    644.73x = 226,013.19
  5. Step 5: Solve for x
    x = 226,013.19/644.73
  6. Step 6: Final answer
    x = 350.55

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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.