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Finding the Fourth Proportional to 363.69, 501.71 and 216.23

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Solution

The fourth proportional to 363.69, 501.71 and 216.23 is: 298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.69 : 501.71 = 216.23 : x
  2. Step 2: Convert to fraction form
    363.69/501.71 = 216.23/x
  3. Step 3: Cross multiply
    363.69x = 501.71 × 216.23
  4. Step 4: Simplify right side
    363.69x = 108,481.16
  5. Step 5: Solve for x
    x = 108,481.16/363.69
  6. Step 6: Final answer
    x = 298.28

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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.