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Finding the Fourth Proportional to 494.16, 741.12 and 205.44

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Solution

The fourth proportional to 494.16, 741.12 and 205.44 is: 308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.16 : 741.12 = 205.44 : x
  2. Step 2: Convert to fraction form
    494.16/741.12 = 205.44/x
  3. Step 3: Cross multiply
    494.16x = 741.12 × 205.44
  4. Step 4: Simplify right side
    494.16x = 152,255.69
  5. Step 5: Solve for x
    x = 152,255.69/494.16
  6. Step 6: Final answer
    x = 308.11

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