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Finding the Fourth Proportional to 577.14, 796.17 and 344.13

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Solution

The fourth proportional to 577.14, 796.17 and 344.13 is: 474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.14 : 796.17 = 344.13 : x
  2. Step 2: Convert to fraction form
    577.14/796.17 = 344.13/x
  3. Step 3: Cross multiply
    577.14x = 796.17 × 344.13
  4. Step 4: Simplify right side
    577.14x = 273,985.98
  5. Step 5: Solve for x
    x = 273,985.98/577.14
  6. Step 6: Final answer
    x = 474.73

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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.