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Finding the Fourth Proportional to 456.41, 684.46 and 182.42

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Solution

The fourth proportional to 456.41, 684.46 and 182.42 is: 273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.41 : 684.46 = 182.42 : x
  2. Step 2: Convert to fraction form
    456.41/684.46 = 182.42/x
  3. Step 3: Cross multiply
    456.41x = 684.46 × 182.42
  4. Step 4: Simplify right side
    456.41x = 124,859.19
  5. Step 5: Solve for x
    x = 124,859.19/456.41
  6. Step 6: Final answer
    x = 273.57

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