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Finding the Fourth Proportional to 283.61, 390.81 and 204.79

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Solution

The fourth proportional to 283.61, 390.81 and 204.79 is: 282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.61 : 390.81 = 204.79 : x
  2. Step 2: Convert to fraction form
    283.61/390.81 = 204.79/x
  3. Step 3: Cross multiply
    283.61x = 390.81 × 204.79
  4. Step 4: Simplify right side
    283.61x = 80,033.77
  5. Step 5: Solve for x
    x = 80,033.77/283.61
  6. Step 6: Final answer
    x = 282.20

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