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Finding the Fourth Proportional to 363.09, 501.05 and 205.72

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Solution

The fourth proportional to 363.09, 501.05 and 205.72 is: 283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.09 : 501.05 = 205.72 : x
  2. Step 2: Convert to fraction form
    363.09/501.05 = 205.72/x
  3. Step 3: Cross multiply
    363.09x = 501.05 × 205.72
  4. Step 4: Simplify right side
    363.09x = 103,072.47
  5. Step 5: Solve for x
    x = 103,072.47/363.09
  6. Step 6: Final answer
    x = 283.88

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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.