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Finding the Fourth Proportional to 363.16, 501.01 and 232.14

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Solution

The fourth proportional to 363.16, 501.01 and 232.14 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.16 : 501.01 = 232.14 : x
  2. Step 2: Convert to fraction form
    363.16/501.01 = 232.14/x
  3. Step 3: Cross multiply
    363.16x = 501.01 × 232.14
  4. Step 4: Simplify right side
    363.16x = 116,304.46
  5. Step 5: Solve for x
    x = 116,304.46/363.16
  6. Step 6: Final answer
    x = 320.26

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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.