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Finding the Fourth Proportional to 389.85, 584.89 and 146.41

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Solution

The fourth proportional to 389.85, 584.89 and 146.41 is: 219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.85 : 584.89 = 146.41 : x
  2. Step 2: Convert to fraction form
    389.85/584.89 = 146.41/x
  3. Step 3: Cross multiply
    389.85x = 584.89 × 146.41
  4. Step 4: Simplify right side
    389.85x = 85,631.92
  5. Step 5: Solve for x
    x = 85,631.92/389.85
  6. Step 6: Final answer
    x = 219.66

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