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Finding the Fourth Proportional to 408.99, 564.35 and 261.75

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Solution

The fourth proportional to 408.99, 564.35 and 261.75 is: 361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.99 : 564.35 = 261.75 : x
  2. Step 2: Convert to fraction form
    408.99/564.35 = 261.75/x
  3. Step 3: Cross multiply
    408.99x = 564.35 × 261.75
  4. Step 4: Simplify right side
    408.99x = 147,717.30
  5. Step 5: Solve for x
    x = 147,717.30/408.99
  6. Step 6: Final answer
    x = 361.18

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