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Finding the Fourth Proportional to 411.16, 616.80 and 194.76

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Solution

The fourth proportional to 411.16, 616.80 and 194.76 is: 292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.16 : 616.80 = 194.76 : x
  2. Step 2: Convert to fraction form
    411.16/616.80 = 194.76/x
  3. Step 3: Cross multiply
    411.16x = 616.80 × 194.76
  4. Step 4: Simplify right side
    411.16x = 120,127.97
  5. Step 5: Solve for x
    x = 120,127.97/411.16
  6. Step 6: Final answer
    x = 292.17

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