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Finding the Fourth Proportional to 493.92, 741.20 and 205.44

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Solution

The fourth proportional to 493.92, 741.20 and 205.44 is: 308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.92 : 741.20 = 205.44 : x
  2. Step 2: Convert to fraction form
    493.92/741.20 = 205.44/x
  3. Step 3: Cross multiply
    493.92x = 741.20 × 205.44
  4. Step 4: Simplify right side
    493.92x = 152,272.13
  5. Step 5: Solve for x
    x = 152,272.13/493.92
  6. Step 6: Final answer
    x = 308.29

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