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Finding the Fourth Proportional to 329.24, 493.16 and 205.43

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Solution

The fourth proportional to 329.24, 493.16 and 205.43 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.24 : 493.16 = 205.43 : x
  2. Step 2: Convert to fraction form
    329.24/493.16 = 205.43/x
  3. Step 3: Cross multiply
    329.24x = 493.16 × 205.43
  4. Step 4: Simplify right side
    329.24x = 101,307.91
  5. Step 5: Solve for x
    x = 101,307.91/329.24
  6. Step 6: Final answer
    x = 307.70

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