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Finding the Fourth Proportional to 493.09, 680.90 and 361.06

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Solution

The fourth proportional to 493.09, 680.90 and 361.06 is: 498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.09 : 680.90 = 361.06 : x
  2. Step 2: Convert to fraction form
    493.09/680.90 = 361.06/x
  3. Step 3: Cross multiply
    493.09x = 680.90 × 361.06
  4. Step 4: Simplify right side
    493.09x = 245,845.75
  5. Step 5: Solve for x
    x = 245,845.75/493.09
  6. Step 6: Final answer
    x = 498.58

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