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Finding the Fourth Proportional to 489.12, 733.84 and 200.80

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Solution

The fourth proportional to 489.12, 733.84 and 200.80 is: 301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.12 : 733.84 = 200.80 : x
  2. Step 2: Convert to fraction form
    489.12/733.84 = 200.80/x
  3. Step 3: Cross multiply
    489.12x = 733.84 × 200.80
  4. Step 4: Simplify right side
    489.12x = 147,355.07
  5. Step 5: Solve for x
    x = 147,355.07/489.12
  6. Step 6: Final answer
    x = 301.27

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