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Finding the Fourth Proportional to 534.12, 796.22 and 502.80

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Solution

The fourth proportional to 534.12, 796.22 and 502.80 is: 749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 796.22 = 502.80 : x
  2. Step 2: Convert to fraction form
    534.12/796.22 = 502.80/x
  3. Step 3: Cross multiply
    534.12x = 796.22 × 502.80
  4. Step 4: Simplify right side
    534.12x = 400,336.90
  5. Step 5: Solve for x
    x = 400,336.90/534.12
  6. Step 6: Final answer
    x = 749.53

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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.