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Finding the Fourth Proportional to 363.34, 501.24 and 208

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Solution

The fourth proportional to 363.34, 501.24 and 208 is: 286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.34 : 501.24 = 208 : x
  2. Step 2: Convert to fraction form
    363.34/501.24 = 208/x
  3. Step 3: Cross multiply
    363.34x = 501.24 × 208
  4. Step 4: Simplify right side
    363.34x = 104,257.92
  5. Step 5: Solve for x
    x = 104,257.92/363.34
  6. Step 6: Final answer
    x = 286.94

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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.