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Finding the Fourth Proportional to 432.90, 648.75 and 268.17

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Solution

The fourth proportional to 432.90, 648.75 and 268.17 is: 401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.90 : 648.75 = 268.17 : x
  2. Step 2: Convert to fraction form
    432.90/648.75 = 268.17/x
  3. Step 3: Cross multiply
    432.90x = 648.75 × 268.17
  4. Step 4: Simplify right side
    432.90x = 173,975.29
  5. Step 5: Solve for x
    x = 173,975.29/432.90
  6. Step 6: Final answer
    x = 401.88

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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.