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Finding the Fourth Proportional to 288, 397.80 and 265.80

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Solution

The fourth proportional to 288, 397.80 and 265.80 is: 367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 397.80 = 265.80 : x
  2. Step 2: Convert to fraction form
    288/397.80 = 265.80/x
  3. Step 3: Cross multiply
    288x = 397.80 × 265.80
  4. Step 4: Simplify right side
    288x = 105,735.24
  5. Step 5: Solve for x
    x = 105,735.24/288
  6. Step 6: Final answer
    x = 367.14

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