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Finding the Fourth Proportional to 494.29, 742.65 and 278.02

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Solution

The fourth proportional to 494.29, 742.65 and 278.02 is: 417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.29 : 742.65 = 278.02 : x
  2. Step 2: Convert to fraction form
    494.29/742.65 = 278.02/x
  3. Step 3: Cross multiply
    494.29x = 742.65 × 278.02
  4. Step 4: Simplify right side
    494.29x = 206,471.55
  5. Step 5: Solve for x
    x = 206,471.55/494.29
  6. Step 6: Final answer
    x = 417.71

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