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Finding the Fourth Proportional to 538.24, 806 and 489.60

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Solution

The fourth proportional to 538.24, 806 and 489.60 is: 733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.24 : 806 = 489.60 : x
  2. Step 2: Convert to fraction form
    538.24/806 = 489.60/x
  3. Step 3: Cross multiply
    538.24x = 806 × 489.60
  4. Step 4: Simplify right side
    538.24x = 394,617.60
  5. Step 5: Solve for x
    x = 394,617.60/538.24
  6. Step 6: Final answer
    x = 733.16

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