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Finding the Fourth Proportional to 288.82, 398.37 and 204.64

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Solution

The fourth proportional to 288.82, 398.37 and 204.64 is: 282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.82 : 398.37 = 204.64 : x
  2. Step 2: Convert to fraction form
    288.82/398.37 = 204.64/x
  3. Step 3: Cross multiply
    288.82x = 398.37 × 204.64
  4. Step 4: Simplify right side
    288.82x = 81,522.44
  5. Step 5: Solve for x
    x = 81,522.44/288.82
  6. Step 6: Final answer
    x = 282.26

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