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Finding the Fourth Proportional to 506.92, 699.48 and 349.24

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Solution

The fourth proportional to 506.92, 699.48 and 349.24 is: 481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.92 : 699.48 = 349.24 : x
  2. Step 2: Convert to fraction form
    506.92/699.48 = 349.24/x
  3. Step 3: Cross multiply
    506.92x = 699.48 × 349.24
  4. Step 4: Simplify right side
    506.92x = 244,286.40
  5. Step 5: Solve for x
    x = 244,286.40/506.92
  6. Step 6: Final answer
    x = 481.90

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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.