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Finding the Fourth Proportional to 432.29, 648.01 and 172.21

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Solution

The fourth proportional to 432.29, 648.01 and 172.21 is: 258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.29 : 648.01 = 172.21 : x
  2. Step 2: Convert to fraction form
    432.29/648.01 = 172.21/x
  3. Step 3: Cross multiply
    432.29x = 648.01 × 172.21
  4. Step 4: Simplify right side
    432.29x = 111,593.80
  5. Step 5: Solve for x
    x = 111,593.80/432.29
  6. Step 6: Final answer
    x = 258.15

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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.