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Finding the Fourth Proportional to 432.05, 648.08 and 172.12

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Solution

The fourth proportional to 432.05, 648.08 and 172.12 is: 258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.05 : 648.08 = 172.12 : x
  2. Step 2: Convert to fraction form
    432.05/648.08 = 172.12/x
  3. Step 3: Cross multiply
    432.05x = 648.08 × 172.12
  4. Step 4: Simplify right side
    432.05x = 111,545.05
  5. Step 5: Solve for x
    x = 111,545.05/432.05
  6. Step 6: Final answer
    x = 258.17

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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.