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Finding the Fourth Proportional to 389.28, 584.09 and 206.63

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Solution

The fourth proportional to 389.28, 584.09 and 206.63 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.28 : 584.09 = 206.63 : x
  2. Step 2: Convert to fraction form
    389.28/584.09 = 206.63/x
  3. Step 3: Cross multiply
    389.28x = 584.09 × 206.63
  4. Step 4: Simplify right side
    389.28x = 120,690.52
  5. Step 5: Solve for x
    x = 120,690.52/389.28
  6. Step 6: Final answer
    x = 310.04

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