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Finding the Fourth Proportional to 456.81, 685.22 and 196.79

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Solution

The fourth proportional to 456.81, 685.22 and 196.79 is: 295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.81 : 685.22 = 196.79 : x
  2. Step 2: Convert to fraction form
    456.81/685.22 = 196.79/x
  3. Step 3: Cross multiply
    456.81x = 685.22 × 196.79
  4. Step 4: Simplify right side
    456.81x = 134,843.46
  5. Step 5: Solve for x
    x = 134,843.46/456.81
  6. Step 6: Final answer
    x = 295.19

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