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Finding the Fourth Proportional to 389.90, 584.48 and 146.25

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Solution

The fourth proportional to 389.90, 584.48 and 146.25 is: 219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.90 : 584.48 = 146.25 : x
  2. Step 2: Convert to fraction form
    389.90/584.48 = 146.25/x
  3. Step 3: Cross multiply
    389.90x = 584.48 × 146.25
  4. Step 4: Simplify right side
    389.90x = 85,480.57
  5. Step 5: Solve for x
    x = 85,480.57/389.90
  6. Step 6: Final answer
    x = 219.24

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