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Finding the Fourth Proportional to 496.62, 744.93 and 204.21

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Solution

The fourth proportional to 496.62, 744.93 and 204.21 is: 306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.62 : 744.93 = 204.21 : x
  2. Step 2: Convert to fraction form
    496.62/744.93 = 204.21/x
  3. Step 3: Cross multiply
    496.62x = 744.93 × 204.21
  4. Step 4: Simplify right side
    496.62x = 152,122.16
  5. Step 5: Solve for x
    x = 152,122.16/496.62
  6. Step 6: Final answer
    x = 306.32

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