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Finding the Fourth Proportional to 420.78, 630.97 and 177.26

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Solution

The fourth proportional to 420.78, 630.97 and 177.26 is: 265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.78 : 630.97 = 177.26 : x
  2. Step 2: Convert to fraction form
    420.78/630.97 = 177.26/x
  3. Step 3: Cross multiply
    420.78x = 630.97 × 177.26
  4. Step 4: Simplify right side
    420.78x = 111,845.74
  5. Step 5: Solve for x
    x = 111,845.74/420.78
  6. Step 6: Final answer
    x = 265.81

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