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Finding the Fourth Proportional to 288.54, 431.97 and 283.42

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Solution

The fourth proportional to 288.54, 431.97 and 283.42 is: 424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.54 : 431.97 = 283.42 : x
  2. Step 2: Convert to fraction form
    288.54/431.97 = 283.42/x
  3. Step 3: Cross multiply
    288.54x = 431.97 × 283.42
  4. Step 4: Simplify right side
    288.54x = 122,428.94
  5. Step 5: Solve for x
    x = 122,428.94/288.54
  6. Step 6: Final answer
    x = 424.30

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