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Finding the Fourth Proportional to 363.40, 501.28 and 232.52

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Solution

The fourth proportional to 363.40, 501.28 and 232.52 is: 320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.40 : 501.28 = 232.52 : x
  2. Step 2: Convert to fraction form
    363.40/501.28 = 232.52/x
  3. Step 3: Cross multiply
    363.40x = 501.28 × 232.52
  4. Step 4: Simplify right side
    363.40x = 116,557.63
  5. Step 5: Solve for x
    x = 116,557.63/363.40
  6. Step 6: Final answer
    x = 320.74

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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.