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Finding the Fourth Proportional to 506.86, 760.44 and 182.26

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Solution

The fourth proportional to 506.86, 760.44 and 182.26 is: 273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.86 : 760.44 = 182.26 : x
  2. Step 2: Convert to fraction form
    506.86/760.44 = 182.26/x
  3. Step 3: Cross multiply
    506.86x = 760.44 × 182.26
  4. Step 4: Simplify right side
    506.86x = 138,597.79
  5. Step 5: Solve for x
    x = 138,597.79/506.86
  6. Step 6: Final answer
    x = 273.44

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