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Finding the Fourth Proportional to 412.13, 618.04 and 177.84

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Solution

The fourth proportional to 412.13, 618.04 and 177.84 is: 266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.13 : 618.04 = 177.84 : x
  2. Step 2: Convert to fraction form
    412.13/618.04 = 177.84/x
  3. Step 3: Cross multiply
    412.13x = 618.04 × 177.84
  4. Step 4: Simplify right side
    412.13x = 109,912.46
  5. Step 5: Solve for x
    x = 109,912.46/412.13
  6. Step 6: Final answer
    x = 266.69

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