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Finding the Fourth Proportional to 493.28, 680.08 and 405.92

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Solution

The fourth proportional to 493.28, 680.08 and 405.92 is: 559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.28 : 680.08 = 405.92 : x
  2. Step 2: Convert to fraction form
    493.28/680.08 = 405.92/x
  3. Step 3: Cross multiply
    493.28x = 680.08 × 405.92
  4. Step 4: Simplify right side
    493.28x = 276,058.07
  5. Step 5: Solve for x
    x = 276,058.07/493.28
  6. Step 6: Final answer
    x = 559.64

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