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Finding the Fourth Proportional to 363.75, 502.01 and 208.53

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Solution

The fourth proportional to 363.75, 502.01 and 208.53 is: 287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.75 : 502.01 = 208.53 : x
  2. Step 2: Convert to fraction form
    363.75/502.01 = 208.53/x
  3. Step 3: Cross multiply
    363.75x = 502.01 × 208.53
  4. Step 4: Simplify right side
    363.75x = 104,683.10
  5. Step 5: Solve for x
    x = 104,683.10/363.75
  6. Step 6: Final answer
    x = 287.79

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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.