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Finding the Fourth Proportional to 564.24, 846.75 and 199.04

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Solution

The fourth proportional to 564.24, 846.75 and 199.04 is: 298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.24 : 846.75 = 199.04 : x
  2. Step 2: Convert to fraction form
    564.24/846.75 = 199.04/x
  3. Step 3: Cross multiply
    564.24x = 846.75 × 199.04
  4. Step 4: Simplify right side
    564.24x = 168,533.63
  5. Step 5: Solve for x
    x = 168,533.63/564.24
  6. Step 6: Final answer
    x = 298.69

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