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Finding the Fourth Proportional to 296.78, 408.71 and 290.42

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Solution

The fourth proportional to 296.78, 408.71 and 290.42 is: 399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.78 : 408.71 = 290.42 : x
  2. Step 2: Convert to fraction form
    296.78/408.71 = 290.42/x
  3. Step 3: Cross multiply
    296.78x = 408.71 × 290.42
  4. Step 4: Simplify right side
    296.78x = 118,694.06
  5. Step 5: Solve for x
    x = 118,694.06/296.78
  6. Step 6: Final answer
    x = 399.95

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