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Finding the Fourth Proportional to 432.68, 648.30 and 216.20

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Solution

The fourth proportional to 432.68, 648.30 and 216.20 is: 323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.68 : 648.30 = 216.20 : x
  2. Step 2: Convert to fraction form
    432.68/648.30 = 216.20/x
  3. Step 3: Cross multiply
    432.68x = 648.30 × 216.20
  4. Step 4: Simplify right side
    432.68x = 140,162.46
  5. Step 5: Solve for x
    x = 140,162.46/432.68
  6. Step 6: Final answer
    x = 323.94

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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.