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Finding the Fourth Proportional to 503.08, 694.32 and 363.66

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Solution

The fourth proportional to 503.08, 694.32 and 363.66 is: 501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.08 : 694.32 = 363.66 : x
  2. Step 2: Convert to fraction form
    503.08/694.32 = 363.66/x
  3. Step 3: Cross multiply
    503.08x = 694.32 × 363.66
  4. Step 4: Simplify right side
    503.08x = 252,496.41
  5. Step 5: Solve for x
    x = 252,496.41/503.08
  6. Step 6: Final answer
    x = 501.90

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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.