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Finding the Fourth Proportional to 564.44, 846.79 and 199.23

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Solution

The fourth proportional to 564.44, 846.79 and 199.23 is: 298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.44 : 846.79 = 199.23 : x
  2. Step 2: Convert to fraction form
    564.44/846.79 = 199.23/x
  3. Step 3: Cross multiply
    564.44x = 846.79 × 199.23
  4. Step 4: Simplify right side
    564.44x = 168,705.97
  5. Step 5: Solve for x
    x = 168,705.97/564.44
  6. Step 6: Final answer
    x = 298.89

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