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Finding the Fourth Proportional to 456.63, 684.90 and 196.62

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Solution

The fourth proportional to 456.63, 684.90 and 196.62 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.63 : 684.90 = 196.62 : x
  2. Step 2: Convert to fraction form
    456.63/684.90 = 196.62/x
  3. Step 3: Cross multiply
    456.63x = 684.90 × 196.62
  4. Step 4: Simplify right side
    456.63x = 134,661.73
  5. Step 5: Solve for x
    x = 134,661.73/456.63
  6. Step 6: Final answer
    x = 294.91

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