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Finding the Fourth Proportional to 363.30, 501.32 and 205.96

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Solution

The fourth proportional to 363.30, 501.32 and 205.96 is: 284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.30 : 501.32 = 205.96 : x
  2. Step 2: Convert to fraction form
    363.30/501.32 = 205.96/x
  3. Step 3: Cross multiply
    363.30x = 501.32 × 205.96
  4. Step 4: Simplify right side
    363.30x = 103,251.87
  5. Step 5: Solve for x
    x = 103,251.87/363.30
  6. Step 6: Final answer
    x = 284.21

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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.