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Finding the Fourth Proportional to 535.65, 739.21 and 299.61

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Solution

The fourth proportional to 535.65, 739.21 and 299.61 is: 413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.65 : 739.21 = 299.61 : x
  2. Step 2: Convert to fraction form
    535.65/739.21 = 299.61/x
  3. Step 3: Cross multiply
    535.65x = 739.21 × 299.61
  4. Step 4: Simplify right side
    535.65x = 221,474.71
  5. Step 5: Solve for x
    x = 221,474.71/535.65
  6. Step 6: Final answer
    x = 413.47

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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.