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Finding the Fourth Proportional to 363.57, 501.84 and 232.71

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Solution

The fourth proportional to 363.57, 501.84 and 232.71 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.57 : 501.84 = 232.71 : x
  2. Step 2: Convert to fraction form
    363.57/501.84 = 232.71/x
  3. Step 3: Cross multiply
    363.57x = 501.84 × 232.71
  4. Step 4: Simplify right side
    363.57x = 116,783.19
  5. Step 5: Solve for x
    x = 116,783.19/363.57
  6. Step 6: Final answer
    x = 321.21

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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.