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Finding the Fourth Proportional to 456.64, 685.16 and 196.60

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Solution

The fourth proportional to 456.64, 685.16 and 196.60 is: 294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.64 : 685.16 = 196.60 : x
  2. Step 2: Convert to fraction form
    456.64/685.16 = 196.60/x
  3. Step 3: Cross multiply
    456.64x = 685.16 × 196.60
  4. Step 4: Simplify right side
    456.64x = 134,702.46
  5. Step 5: Solve for x
    x = 134,702.46/456.64
  6. Step 6: Final answer
    x = 294.99

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