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Finding the Fourth Proportional to 535.72, 739.26 and 299.64

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Solution

The fourth proportional to 535.72, 739.26 and 299.64 is: 413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.72 : 739.26 = 299.64 : x
  2. Step 2: Convert to fraction form
    535.72/739.26 = 299.64/x
  3. Step 3: Cross multiply
    535.72x = 739.26 × 299.64
  4. Step 4: Simplify right side
    535.72x = 221,511.87
  5. Step 5: Solve for x
    x = 221,511.87/535.72
  6. Step 6: Final answer
    x = 413.48

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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.