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Finding the Fourth Proportional to 406.92, 610.40 and 175.92

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Solution

The fourth proportional to 406.92, 610.40 and 175.92 is: 263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.92 : 610.40 = 175.92 : x
  2. Step 2: Convert to fraction form
    406.92/610.40 = 175.92/x
  3. Step 3: Cross multiply
    406.92x = 610.40 × 175.92
  4. Step 4: Simplify right side
    406.92x = 107,381.57
  5. Step 5: Solve for x
    x = 107,381.57/406.92
  6. Step 6: Final answer
    x = 263.89

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