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Finding the Fourth Proportional to 409.21, 613.91 and 120.63

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Solution

The fourth proportional to 409.21, 613.91 and 120.63 is: 180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.21 : 613.91 = 120.63 : x
  2. Step 2: Convert to fraction form
    409.21/613.91 = 120.63/x
  3. Step 3: Cross multiply
    409.21x = 613.91 × 120.63
  4. Step 4: Simplify right side
    409.21x = 74,055.96
  5. Step 5: Solve for x
    x = 74,055.96/409.21
  6. Step 6: Final answer
    x = 180.97

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