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Finding the Fourth Proportional to 363.84, 502.08 and 208.62

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Solution

The fourth proportional to 363.84, 502.08 and 208.62 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 502.08 = 208.62 : x
  2. Step 2: Convert to fraction form
    363.84/502.08 = 208.62/x
  3. Step 3: Cross multiply
    363.84x = 502.08 × 208.62
  4. Step 4: Simplify right side
    363.84x = 104,743.93
  5. Step 5: Solve for x
    x = 104,743.93/363.84
  6. Step 6: Final answer
    x = 287.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.