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Finding the Fourth Proportional to 535.86, 739.49 and 299.83

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Solution

The fourth proportional to 535.86, 739.49 and 299.83 is: 413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 739.49 = 299.83 : x
  2. Step 2: Convert to fraction form
    535.86/739.49 = 299.83/x
  3. Step 3: Cross multiply
    535.86x = 739.49 × 299.83
  4. Step 4: Simplify right side
    535.86x = 221,717.59
  5. Step 5: Solve for x
    x = 221,717.59/535.86
  6. Step 6: Final answer
    x = 413.76

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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.