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Finding the Fourth Proportional to 577.38, 796.23 and 534.96

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Solution

The fourth proportional to 577.38, 796.23 and 534.96 is: 737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.38 : 796.23 = 534.96 : x
  2. Step 2: Convert to fraction form
    577.38/796.23 = 534.96/x
  3. Step 3: Cross multiply
    577.38x = 796.23 × 534.96
  4. Step 4: Simplify right side
    577.38x = 425,951.20
  5. Step 5: Solve for x
    x = 425,951.20/577.38
  6. Step 6: Final answer
    x = 737.73

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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.