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Finding the Fourth Proportional to 664.74, 996.44 and 420.80

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Solution

The fourth proportional to 664.74, 996.44 and 420.80 is: 630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.74 : 996.44 = 420.80 : x
  2. Step 2: Convert to fraction form
    664.74/996.44 = 420.80/x
  3. Step 3: Cross multiply
    664.74x = 996.44 × 420.80
  4. Step 4: Simplify right side
    664.74x = 419,294.87
  5. Step 5: Solve for x
    x = 419,294.87/664.74
  6. Step 6: Final answer
    x = 630.77

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