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Finding the Fourth Proportional to 664.53, 996.78 and 280.05

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Solution

The fourth proportional to 664.53, 996.78 and 280.05 is: 420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.53 : 996.78 = 280.05 : x
  2. Step 2: Convert to fraction form
    664.53/996.78 = 280.05/x
  3. Step 3: Cross multiply
    664.53x = 996.78 × 280.05
  4. Step 4: Simplify right side
    664.53x = 279,148.24
  5. Step 5: Solve for x
    x = 279,148.24/664.53
  6. Step 6: Final answer
    x = 420.07

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