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Finding the Fourth Proportional to 363.29, 501.33 and 205.94

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Solution

The fourth proportional to 363.29, 501.33 and 205.94 is: 284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.29 : 501.33 = 205.94 : x
  2. Step 2: Convert to fraction form
    363.29/501.33 = 205.94/x
  3. Step 3: Cross multiply
    363.29x = 501.33 × 205.94
  4. Step 4: Simplify right side
    363.29x = 103,243.90
  5. Step 5: Solve for x
    x = 103,243.90/363.29
  6. Step 6: Final answer
    x = 284.19

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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.