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Finding the Fourth Proportional to 427.64, 589.92 and 280.20

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Solution

The fourth proportional to 427.64, 589.92 and 280.20 is: 386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.64 : 589.92 = 280.20 : x
  2. Step 2: Convert to fraction form
    427.64/589.92 = 280.20/x
  3. Step 3: Cross multiply
    427.64x = 589.92 × 280.20
  4. Step 4: Simplify right side
    427.64x = 165,295.58
  5. Step 5: Solve for x
    x = 165,295.58/427.64
  6. Step 6: Final answer
    x = 386.53

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