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Finding the Fourth Proportional to 535.61, 739.09 and 299.53

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Solution

The fourth proportional to 535.61, 739.09 and 299.53 is: 413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.61 : 739.09 = 299.53 : x
  2. Step 2: Convert to fraction form
    535.61/739.09 = 299.53/x
  3. Step 3: Cross multiply
    535.61x = 739.09 × 299.53
  4. Step 4: Simplify right side
    535.61x = 221,380.93
  5. Step 5: Solve for x
    x = 221,380.93/535.61
  6. Step 6: Final answer
    x = 413.32

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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.