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Finding the Fourth Proportional to 460.96, 691.76 and 204.48

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Solution

The fourth proportional to 460.96, 691.76 and 204.48 is: 306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.96 : 691.76 = 204.48 : x
  2. Step 2: Convert to fraction form
    460.96/691.76 = 204.48/x
  3. Step 3: Cross multiply
    460.96x = 691.76 × 204.48
  4. Step 4: Simplify right side
    460.96x = 141,451.08
  5. Step 5: Solve for x
    x = 141,451.08/460.96
  6. Step 6: Final answer
    x = 306.86

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