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Finding the Fourth Proportional to 363.24, 501.32 and 208

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Solution

The fourth proportional to 363.24, 501.32 and 208 is: 287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.24 : 501.32 = 208 : x
  2. Step 2: Convert to fraction form
    363.24/501.32 = 208/x
  3. Step 3: Cross multiply
    363.24x = 501.32 × 208
  4. Step 4: Simplify right side
    363.24x = 104,274.56
  5. Step 5: Solve for x
    x = 104,274.56/363.24
  6. Step 6: Final answer
    x = 287.07

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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.