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Finding the Fourth Proportional to 503.26, 694.41 and 306.83

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Solution

The fourth proportional to 503.26, 694.41 and 306.83 is: 423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.26 : 694.41 = 306.83 : x
  2. Step 2: Convert to fraction form
    503.26/694.41 = 306.83/x
  3. Step 3: Cross multiply
    503.26x = 694.41 × 306.83
  4. Step 4: Simplify right side
    503.26x = 213,065.82
  5. Step 5: Solve for x
    x = 213,065.82/503.26
  6. Step 6: Final answer
    x = 423.37

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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.