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Finding the Fourth Proportional to 363.30, 544.03 and 200.80

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Solution

The fourth proportional to 363.30, 544.03 and 200.80 is: 300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.30 : 544.03 = 200.80 : x
  2. Step 2: Convert to fraction form
    363.30/544.03 = 200.80/x
  3. Step 3: Cross multiply
    363.30x = 544.03 × 200.80
  4. Step 4: Simplify right side
    363.30x = 109,241.22
  5. Step 5: Solve for x
    x = 109,241.22/363.30
  6. Step 6: Final answer
    x = 300.69

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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.