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Finding the Fourth Proportional to 656.53, 906 and 361.79

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Solution

The fourth proportional to 656.53, 906 and 361.79 is: 499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.53 : 906 = 361.79 : x
  2. Step 2: Convert to fraction form
    656.53/906 = 361.79/x
  3. Step 3: Cross multiply
    656.53x = 906 × 361.79
  4. Step 4: Simplify right side
    656.53x = 327,781.74
  5. Step 5: Solve for x
    x = 327,781.74/656.53
  6. Step 6: Final answer
    x = 499.27

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