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Finding the Fourth Proportional to 456.67, 684.71 and 182.84

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Solution

The fourth proportional to 456.67, 684.71 and 182.84 is: 274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.67 : 684.71 = 182.84 : x
  2. Step 2: Convert to fraction form
    456.67/684.71 = 182.84/x
  3. Step 3: Cross multiply
    456.67x = 684.71 × 182.84
  4. Step 4: Simplify right side
    456.67x = 125,192.38
  5. Step 5: Solve for x
    x = 125,192.38/456.67
  6. Step 6: Final answer
    x = 274.14

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