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Finding the Fourth Proportional to 363.87, 502.07 and 247.41

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Solution

The fourth proportional to 363.87, 502.07 and 247.41 is: 341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.87 : 502.07 = 247.41 : x
  2. Step 2: Convert to fraction form
    363.87/502.07 = 247.41/x
  3. Step 3: Cross multiply
    363.87x = 502.07 × 247.41
  4. Step 4: Simplify right side
    363.87x = 124,215.90
  5. Step 5: Solve for x
    x = 124,215.90/363.87
  6. Step 6: Final answer
    x = 341.37

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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.