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Finding the Fourth Proportional to 329.44, 493.20 and 200.32

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Solution

The fourth proportional to 329.44, 493.20 and 200.32 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.44 : 493.20 = 200.32 : x
  2. Step 2: Convert to fraction form
    329.44/493.20 = 200.32/x
  3. Step 3: Cross multiply
    329.44x = 493.20 × 200.32
  4. Step 4: Simplify right side
    329.44x = 98,797.82
  5. Step 5: Solve for x
    x = 98,797.82/329.44
  6. Step 6: Final answer
    x = 299.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.