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Finding the Fourth Proportional to 664.96, 997.76 and 280

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Solution

The fourth proportional to 664.96, 997.76 and 280 is: 420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.96 : 997.76 = 280 : x
  2. Step 2: Convert to fraction form
    664.96/997.76 = 280/x
  3. Step 3: Cross multiply
    664.96x = 997.76 × 280
  4. Step 4: Simplify right side
    664.96x = 279,372.80
  5. Step 5: Solve for x
    x = 279,372.80/664.96
  6. Step 6: Final answer
    x = 420.13

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