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Finding the Fourth Proportional to 471.78, 706.44 and 288.92

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Solution

The fourth proportional to 471.78, 706.44 and 288.92 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.78 : 706.44 = 288.92 : x
  2. Step 2: Convert to fraction form
    471.78/706.44 = 288.92/x
  3. Step 3: Cross multiply
    471.78x = 706.44 × 288.92
  4. Step 4: Simplify right side
    471.78x = 204,104.64
  5. Step 5: Solve for x
    x = 204,104.64/471.78
  6. Step 6: Final answer
    x = 432.63

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