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Finding the Fourth Proportional to 286.24, 428.56 and 204.64

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Solution

The fourth proportional to 286.24, 428.56 and 204.64 is: 306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.24 : 428.56 = 204.64 : x
  2. Step 2: Convert to fraction form
    286.24/428.56 = 204.64/x
  3. Step 3: Cross multiply
    286.24x = 428.56 × 204.64
  4. Step 4: Simplify right side
    286.24x = 87,700.52
  5. Step 5: Solve for x
    x = 87,700.52/286.24
  6. Step 6: Final answer
    x = 306.39

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