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Finding the Fourth Proportional to 534.56, 797.96 and 494.44

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Solution

The fourth proportional to 534.56, 797.96 and 494.44 is: 738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.56 : 797.96 = 494.44 : x
  2. Step 2: Convert to fraction form
    534.56/797.96 = 494.44/x
  3. Step 3: Cross multiply
    534.56x = 797.96 × 494.44
  4. Step 4: Simplify right side
    534.56x = 394,543.34
  5. Step 5: Solve for x
    x = 394,543.34/534.56
  6. Step 6: Final answer
    x = 738.07

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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.