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Finding the Fourth Proportional to 432.70, 648.72 and 216.43

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Solution

The fourth proportional to 432.70, 648.72 and 216.43 is: 324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.70 : 648.72 = 216.43 : x
  2. Step 2: Convert to fraction form
    432.70/648.72 = 216.43/x
  3. Step 3: Cross multiply
    432.70x = 648.72 × 216.43
  4. Step 4: Simplify right side
    432.70x = 140,402.47
  5. Step 5: Solve for x
    x = 140,402.47/432.70
  6. Step 6: Final answer
    x = 324.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.