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Finding the Fourth Proportional to 362.20, 499.89 and 204.83

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Solution

The fourth proportional to 362.20, 499.89 and 204.83 is: 282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.20 : 499.89 = 204.83 : x
  2. Step 2: Convert to fraction form
    362.20/499.89 = 204.83/x
  3. Step 3: Cross multiply
    362.20x = 499.89 × 204.83
  4. Step 4: Simplify right side
    362.20x = 102,395.42
  5. Step 5: Solve for x
    x = 102,395.42/362.20
  6. Step 6: Final answer
    x = 282.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.