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Finding the Fourth Proportional to 494.92, 742.56 and 206.56

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Solution

The fourth proportional to 494.92, 742.56 and 206.56 is: 309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.92 : 742.56 = 206.56 : x
  2. Step 2: Convert to fraction form
    494.92/742.56 = 206.56/x
  3. Step 3: Cross multiply
    494.92x = 742.56 × 206.56
  4. Step 4: Simplify right side
    494.92x = 153,383.19
  5. Step 5: Solve for x
    x = 153,383.19/494.92
  6. Step 6: Final answer
    x = 309.92

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