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Finding the Fourth Proportional to 503.20, 694.31 and 363.53

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Solution

The fourth proportional to 503.20, 694.31 and 363.53 is: 501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.20 : 694.31 = 363.53 : x
  2. Step 2: Convert to fraction form
    503.20/694.31 = 363.53/x
  3. Step 3: Cross multiply
    503.20x = 694.31 × 363.53
  4. Step 4: Simplify right side
    503.20x = 252,399.04
  5. Step 5: Solve for x
    x = 252,399.04/503.20
  6. Step 6: Final answer
    x = 501.59

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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.