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Finding the Fourth Proportional to 564.87, 847.39 and 174.78

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Solution

The fourth proportional to 564.87, 847.39 and 174.78 is: 262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.87 : 847.39 = 174.78 : x
  2. Step 2: Convert to fraction form
    564.87/847.39 = 174.78/x
  3. Step 3: Cross multiply
    564.87x = 847.39 × 174.78
  4. Step 4: Simplify right side
    564.87x = 148,102.59
  5. Step 5: Solve for x
    x = 148,102.59/564.87
  6. Step 6: Final answer
    x = 262.19

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