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Finding the Fourth Proportional to 503.14, 694.33 and 293.37

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Solution

The fourth proportional to 503.14, 694.33 and 293.37 is: 404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.14 : 694.33 = 293.37 : x
  2. Step 2: Convert to fraction form
    503.14/694.33 = 293.37/x
  3. Step 3: Cross multiply
    503.14x = 694.33 × 293.37
  4. Step 4: Simplify right side
    503.14x = 203,695.59
  5. Step 5: Solve for x
    x = 203,695.59/503.14
  6. Step 6: Final answer
    x = 404.85

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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.