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Finding the Fourth Proportional to 363.85, 502.20 and 224.09

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Solution

The fourth proportional to 363.85, 502.20 and 224.09 is: 309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.85 : 502.20 = 224.09 : x
  2. Step 2: Convert to fraction form
    363.85/502.20 = 224.09/x
  3. Step 3: Cross multiply
    363.85x = 502.20 × 224.09
  4. Step 4: Simplify right side
    363.85x = 112,538.00
  5. Step 5: Solve for x
    x = 112,538.00/363.85
  6. Step 6: Final answer
    x = 309.30

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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.