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Finding the Fourth Proportional to 641.05, 960.77 and 229.73

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Solution

The fourth proportional to 641.05, 960.77 and 229.73 is: 344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.05 : 960.77 = 229.73 : x
  2. Step 2: Convert to fraction form
    641.05/960.77 = 229.73/x
  3. Step 3: Cross multiply
    641.05x = 960.77 × 229.73
  4. Step 4: Simplify right side
    641.05x = 220,717.57
  5. Step 5: Solve for x
    x = 220,717.57/641.05
  6. Step 6: Final answer
    x = 344.31

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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.