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Finding the Fourth Proportional to 564.08, 846.24 and 198.89

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Solution

The fourth proportional to 564.08, 846.24 and 198.89 is: 298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.08 : 846.24 = 198.89 : x
  2. Step 2: Convert to fraction form
    564.08/846.24 = 198.89/x
  3. Step 3: Cross multiply
    564.08x = 846.24 × 198.89
  4. Step 4: Simplify right side
    564.08x = 168,308.67
  5. Step 5: Solve for x
    x = 168,308.67/564.08
  6. Step 6: Final answer
    x = 298.38

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