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Finding the Fourth Proportional to 362.13, 499.64 and 204.73

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Solution

The fourth proportional to 362.13, 499.64 and 204.73 is: 282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.13 : 499.64 = 204.73 : x
  2. Step 2: Convert to fraction form
    362.13/499.64 = 204.73/x
  3. Step 3: Cross multiply
    362.13x = 499.64 × 204.73
  4. Step 4: Simplify right side
    362.13x = 102,290.75
  5. Step 5: Solve for x
    x = 102,290.75/362.13
  6. Step 6: Final answer
    x = 282.47

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Why These Related Problems?

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