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Finding the Fourth Proportional to 564.22, 846.42 and 198.95

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Solution

The fourth proportional to 564.22, 846.42 and 198.95 is: 298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.22 : 846.42 = 198.95 : x
  2. Step 2: Convert to fraction form
    564.22/846.42 = 198.95/x
  3. Step 3: Cross multiply
    564.22x = 846.42 × 198.95
  4. Step 4: Simplify right side
    564.22x = 168,396.63
  5. Step 5: Solve for x
    x = 168,396.63/564.22
  6. Step 6: Final answer
    x = 298.46

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