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Finding the Fourth Proportional to 534.30, 797.59 and 494.22

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Solution

The fourth proportional to 534.30, 797.59 and 494.22 is: 737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.30 : 797.59 = 494.22 : x
  2. Step 2: Convert to fraction form
    534.30/797.59 = 494.22/x
  3. Step 3: Cross multiply
    534.30x = 797.59 × 494.22
  4. Step 4: Simplify right side
    534.30x = 394,183.69
  5. Step 5: Solve for x
    x = 394,183.69/534.30
  6. Step 6: Final answer
    x = 737.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.