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Finding the Fourth Proportional to 503.34, 694.49 and 306.87

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Solution

The fourth proportional to 503.34, 694.49 and 306.87 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.34 : 694.49 = 306.87 : x
  2. Step 2: Convert to fraction form
    503.34/694.49 = 306.87/x
  3. Step 3: Cross multiply
    503.34x = 694.49 × 306.87
  4. Step 4: Simplify right side
    503.34x = 213,118.15
  5. Step 5: Solve for x
    x = 213,118.15/503.34
  6. Step 6: Final answer
    x = 423.41

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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.