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Finding the Fourth Proportional to 362.05, 499.61 and 204.67

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Solution

The fourth proportional to 362.05, 499.61 and 204.67 is: 282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.05 : 499.61 = 204.67 : x
  2. Step 2: Convert to fraction form
    362.05/499.61 = 204.67/x
  3. Step 3: Cross multiply
    362.05x = 499.61 × 204.67
  4. Step 4: Simplify right side
    362.05x = 102,251.66
  5. Step 5: Solve for x
    x = 102,251.66/362.05
  6. Step 6: Final answer
    x = 282.43

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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.