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Finding the Fourth Proportional to 456.42, 684.56 and 182.44

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Solution

The fourth proportional to 456.42, 684.56 and 182.44 is: 273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.42 : 684.56 = 182.44 : x
  2. Step 2: Convert to fraction form
    456.42/684.56 = 182.44/x
  3. Step 3: Cross multiply
    456.42x = 684.56 × 182.44
  4. Step 4: Simplify right side
    456.42x = 124,891.93
  5. Step 5: Solve for x
    x = 124,891.93/456.42
  6. Step 6: Final answer
    x = 273.63

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