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Finding the Fourth Proportional to 456.77, 684.95 and 196.76

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Solution

The fourth proportional to 456.77, 684.95 and 196.76 is: 295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.77 : 684.95 = 196.76 : x
  2. Step 2: Convert to fraction form
    456.77/684.95 = 196.76/x
  3. Step 3: Cross multiply
    456.77x = 684.95 × 196.76
  4. Step 4: Simplify right side
    456.77x = 134,771.49
  5. Step 5: Solve for x
    x = 134,771.49/456.77
  6. Step 6: Final answer
    x = 295.05

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