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Finding the Fourth Proportional to 535.87, 739.38 and 326.04

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Solution

The fourth proportional to 535.87, 739.38 and 326.04 is: 449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.87 : 739.38 = 326.04 : x
  2. Step 2: Convert to fraction form
    535.87/739.38 = 326.04/x
  3. Step 3: Cross multiply
    535.87x = 739.38 × 326.04
  4. Step 4: Simplify right side
    535.87x = 241,067.46
  5. Step 5: Solve for x
    x = 241,067.46/535.87
  6. Step 6: Final answer
    x = 449.86

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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.