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Finding the Fourth Proportional to 363.94, 502.41 and 208.66

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Solution

The fourth proportional to 363.94, 502.41 and 208.66 is: 288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.94 : 502.41 = 208.66 : x
  2. Step 2: Convert to fraction form
    363.94/502.41 = 208.66/x
  3. Step 3: Cross multiply
    363.94x = 502.41 × 208.66
  4. Step 4: Simplify right side
    363.94x = 104,832.87
  5. Step 5: Solve for x
    x = 104,832.87/363.94
  6. Step 6: Final answer
    x = 288.05

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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.