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Finding the Fourth Proportional to 362.27, 499.97 and 204.93

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Solution

The fourth proportional to 362.27, 499.97 and 204.93 is: 282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.27 : 499.97 = 204.93 : x
  2. Step 2: Convert to fraction form
    362.27/499.97 = 204.93/x
  3. Step 3: Cross multiply
    362.27x = 499.97 × 204.93
  4. Step 4: Simplify right side
    362.27x = 102,459.36
  5. Step 5: Solve for x
    x = 102,459.36/362.27
  6. Step 6: Final answer
    x = 282.82

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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.