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Finding the Fourth Proportional to 363.96, 544.57 and 217.17

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Solution

The fourth proportional to 363.96, 544.57 and 217.17 is: 324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.96 : 544.57 = 217.17 : x
  2. Step 2: Convert to fraction form
    363.96/544.57 = 217.17/x
  3. Step 3: Cross multiply
    363.96x = 544.57 × 217.17
  4. Step 4: Simplify right side
    363.96x = 118,264.27
  5. Step 5: Solve for x
    x = 118,264.27/363.96
  6. Step 6: Final answer
    x = 324.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.