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Finding the Fourth Proportional to 363.29, 541.89 and 324.41

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Solution

The fourth proportional to 363.29, 541.89 and 324.41 is: 483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.29 : 541.89 = 324.41 : x
  2. Step 2: Convert to fraction form
    363.29/541.89 = 324.41/x
  3. Step 3: Cross multiply
    363.29x = 541.89 × 324.41
  4. Step 4: Simplify right side
    363.29x = 175,791.83
  5. Step 5: Solve for x
    x = 175,791.83/363.29
  6. Step 6: Final answer
    x = 483.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.