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Finding the Fourth Proportional to 363.21, 501.30 and 232.26

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Solution

The fourth proportional to 363.21, 501.30 and 232.26 is: 320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.21 : 501.30 = 232.26 : x
  2. Step 2: Convert to fraction form
    363.21/501.30 = 232.26/x
  3. Step 3: Cross multiply
    363.21x = 501.30 × 232.26
  4. Step 4: Simplify right side
    363.21x = 116,431.94
  5. Step 5: Solve for x
    x = 116,431.94/363.21
  6. Step 6: Final answer
    x = 320.56

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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.