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Finding the Fourth Proportional to 503.26, 694.40 and 306.84

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Solution

The fourth proportional to 503.26, 694.40 and 306.84 is: 423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.26 : 694.40 = 306.84 : x
  2. Step 2: Convert to fraction form
    503.26/694.40 = 306.84/x
  3. Step 3: Cross multiply
    503.26x = 694.40 × 306.84
  4. Step 4: Simplify right side
    503.26x = 213,069.70
  5. Step 5: Solve for x
    x = 213,069.70/503.26
  6. Step 6: Final answer
    x = 423.38

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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.