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Finding the Fourth Proportional to 564.41, 846.75 and 199.23

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Solution

The fourth proportional to 564.41, 846.75 and 199.23 is: 298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.41 : 846.75 = 199.23 : x
  2. Step 2: Convert to fraction form
    564.41/846.75 = 199.23/x
  3. Step 3: Cross multiply
    564.41x = 846.75 × 199.23
  4. Step 4: Simplify right side
    564.41x = 168,698.00
  5. Step 5: Solve for x
    x = 168,698.00/564.41
  6. Step 6: Final answer
    x = 298.90

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