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Finding the Fourth Proportional to 538.44, 806.44 and 321.60

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Solution

The fourth proportional to 538.44, 806.44 and 321.60 is: 481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.44 : 806.44 = 321.60 : x
  2. Step 2: Convert to fraction form
    538.44/806.44 = 321.60/x
  3. Step 3: Cross multiply
    538.44x = 806.44 × 321.60
  4. Step 4: Simplify right side
    538.44x = 259,351.10
  5. Step 5: Solve for x
    x = 259,351.10/538.44
  6. Step 6: Final answer
    x = 481.67

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