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Finding the Fourth Proportional to 535.97, 739.73 and 448.61

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Solution

The fourth proportional to 535.97, 739.73 and 448.61 is: 619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.97 : 739.73 = 448.61 : x
  2. Step 2: Convert to fraction form
    535.97/739.73 = 448.61/x
  3. Step 3: Cross multiply
    535.97x = 739.73 × 448.61
  4. Step 4: Simplify right side
    535.97x = 331,850.28
  5. Step 5: Solve for x
    x = 331,850.28/535.97
  6. Step 6: Final answer
    x = 619.16

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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.