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Finding the Fourth Proportional to 506.94, 699.22 and 299.82

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Solution

The fourth proportional to 506.94, 699.22 and 299.82 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.94 : 699.22 = 299.82 : x
  2. Step 2: Convert to fraction form
    506.94/699.22 = 299.82/x
  3. Step 3: Cross multiply
    506.94x = 699.22 × 299.82
  4. Step 4: Simplify right side
    506.94x = 209,640.14
  5. Step 5: Solve for x
    x = 209,640.14/506.94
  6. Step 6: Final answer
    x = 413.54

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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.