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Finding the Fourth Proportional to 506.80, 699.24 and 299.84

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Solution

The fourth proportional to 506.80, 699.24 and 299.84 is: 413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 699.24 = 299.84 : x
  2. Step 2: Convert to fraction form
    506.80/699.24 = 299.84/x
  3. Step 3: Cross multiply
    506.80x = 699.24 × 299.84
  4. Step 4: Simplify right side
    506.80x = 209,660.12
  5. Step 5: Solve for x
    x = 209,660.12/506.80
  6. Step 6: Final answer
    x = 413.69

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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.