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Finding the Fourth Proportional to 656.52, 906 and 361.78

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Solution

The fourth proportional to 656.52, 906 and 361.78 is: 499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.52 : 906 = 361.78 : x
  2. Step 2: Convert to fraction form
    656.52/906 = 361.78/x
  3. Step 3: Cross multiply
    656.52x = 906 × 361.78
  4. Step 4: Simplify right side
    656.52x = 327,772.68
  5. Step 5: Solve for x
    x = 327,772.68/656.52
  6. Step 6: Final answer
    x = 499.26

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