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Finding the Fourth Proportional to 432.29, 648.17 and 172.33

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Solution

The fourth proportional to 432.29, 648.17 and 172.33 is: 258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.29 : 648.17 = 172.33 : x
  2. Step 2: Convert to fraction form
    432.29/648.17 = 172.33/x
  3. Step 3: Cross multiply
    432.29x = 648.17 × 172.33
  4. Step 4: Simplify right side
    432.29x = 111,697.30
  5. Step 5: Solve for x
    x = 111,697.30/432.29
  6. Step 6: Final answer
    x = 258.39

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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.