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Finding the Fourth Proportional to 363.98, 502.34 and 224.07

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Solution

The fourth proportional to 363.98, 502.34 and 224.07 is: 309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.98 : 502.34 = 224.07 : x
  2. Step 2: Convert to fraction form
    363.98/502.34 = 224.07/x
  3. Step 3: Cross multiply
    363.98x = 502.34 × 224.07
  4. Step 4: Simplify right side
    363.98x = 112,559.88
  5. Step 5: Solve for x
    x = 112,559.88/363.98
  6. Step 6: Final answer
    x = 309.24

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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.