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Finding the Fourth Proportional to 495.78, 743.71 and 171.15

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Solution

The fourth proportional to 495.78, 743.71 and 171.15 is: 256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.78 : 743.71 = 171.15 : x
  2. Step 2: Convert to fraction form
    495.78/743.71 = 171.15/x
  3. Step 3: Cross multiply
    495.78x = 743.71 × 171.15
  4. Step 4: Simplify right side
    495.78x = 127,285.97
  5. Step 5: Solve for x
    x = 127,285.97/495.78
  6. Step 6: Final answer
    x = 256.74

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