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Finding the Fourth Proportional to 409.72, 614.64 and 135.85

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Solution

The fourth proportional to 409.72, 614.64 and 135.85 is: 203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.72 : 614.64 = 135.85 : x
  2. Step 2: Convert to fraction form
    409.72/614.64 = 135.85/x
  3. Step 3: Cross multiply
    409.72x = 614.64 × 135.85
  4. Step 4: Simplify right side
    409.72x = 83,498.84
  5. Step 5: Solve for x
    x = 83,498.84/409.72
  6. Step 6: Final answer
    x = 203.79

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