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Finding the Fourth Proportional to 535.97, 739.66 and 299.92

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Solution

The fourth proportional to 535.97, 739.66 and 299.92 is: 413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.97 : 739.66 = 299.92 : x
  2. Step 2: Convert to fraction form
    535.97/739.66 = 299.92/x
  3. Step 3: Cross multiply
    535.97x = 739.66 × 299.92
  4. Step 4: Simplify right side
    535.97x = 221,836.23
  5. Step 5: Solve for x
    x = 221,836.23/535.97
  6. Step 6: Final answer
    x = 413.89

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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.