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Finding the Fourth Proportional to 432.75, 648.59 and 216.39

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Solution

The fourth proportional to 432.75, 648.59 and 216.39 is: 324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.75 : 648.59 = 216.39 : x
  2. Step 2: Convert to fraction form
    432.75/648.59 = 216.39/x
  3. Step 3: Cross multiply
    432.75x = 648.59 × 216.39
  4. Step 4: Simplify right side
    432.75x = 140,349.13
  5. Step 5: Solve for x
    x = 140,349.13/432.75
  6. Step 6: Final answer
    x = 324.32

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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.