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Finding the Fourth Proportional to 432, 648.24 and 188.68

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Solution

The fourth proportional to 432, 648.24 and 188.68 is: 283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432 : 648.24 = 188.68 : x
  2. Step 2: Convert to fraction form
    432/648.24 = 188.68/x
  3. Step 3: Cross multiply
    432x = 648.24 × 188.68
  4. Step 4: Simplify right side
    432x = 122,309.92
  5. Step 5: Solve for x
    x = 122,309.92/432
  6. Step 6: Final answer
    x = 283.12

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