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Finding the Fourth Proportional to 389.75, 538.30 and 265.20

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Solution

The fourth proportional to 389.75, 538.30 and 265.20 is: 366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.75 : 538.30 = 265.20 : x
  2. Step 2: Convert to fraction form
    389.75/538.30 = 265.20/x
  3. Step 3: Cross multiply
    389.75x = 538.30 × 265.20
  4. Step 4: Simplify right side
    389.75x = 142,757.16
  5. Step 5: Solve for x
    x = 142,757.16/389.75
  6. Step 6: Final answer
    x = 366.28

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