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Finding the Fourth Proportional to 432.92, 648.30 and 227.66

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Solution

The fourth proportional to 432.92, 648.30 and 227.66 is: 340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.92 : 648.30 = 227.66 : x
  2. Step 2: Convert to fraction form
    432.92/648.30 = 227.66/x
  3. Step 3: Cross multiply
    432.92x = 648.30 × 227.66
  4. Step 4: Simplify right side
    432.92x = 147,591.98
  5. Step 5: Solve for x
    x = 147,591.98/432.92
  6. Step 6: Final answer
    x = 340.92

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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.