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Finding the Fourth Proportional to 432.30, 648.51 and 172.17

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Solution

The fourth proportional to 432.30, 648.51 and 172.17 is: 258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.30 : 648.51 = 172.17 : x
  2. Step 2: Convert to fraction form
    432.30/648.51 = 172.17/x
  3. Step 3: Cross multiply
    432.30x = 648.51 × 172.17
  4. Step 4: Simplify right side
    432.30x = 111,653.97
  5. Step 5: Solve for x
    x = 111,653.97/432.30
  6. Step 6: Final answer
    x = 258.28

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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.