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Finding the Fourth Proportional to 288.56, 432.24 and 264.94

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Solution

The fourth proportional to 288.56, 432.24 and 264.94 is: 396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 432.24 = 264.94 : x
  2. Step 2: Convert to fraction form
    288.56/432.24 = 264.94/x
  3. Step 3: Cross multiply
    288.56x = 432.24 × 264.94
  4. Step 4: Simplify right side
    288.56x = 114,515.59
  5. Step 5: Solve for x
    x = 114,515.59/288.56
  6. Step 6: Final answer
    x = 396.85

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