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Finding the Fourth Proportional to 424.16, 635.96 and 261.80

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Solution

The fourth proportional to 424.16, 635.96 and 261.80 is: 392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.16 : 635.96 = 261.80 : x
  2. Step 2: Convert to fraction form
    424.16/635.96 = 261.80/x
  3. Step 3: Cross multiply
    424.16x = 635.96 × 261.80
  4. Step 4: Simplify right side
    424.16x = 166,494.33
  5. Step 5: Solve for x
    x = 166,494.33/424.16
  6. Step 6: Final answer
    x = 392.53

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