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Finding the Fourth Proportional to 573.46, 791.17 and 349.31

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Solution

The fourth proportional to 573.46, 791.17 and 349.31 is: 481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.46 : 791.17 = 349.31 : x
  2. Step 2: Convert to fraction form
    573.46/791.17 = 349.31/x
  3. Step 3: Cross multiply
    573.46x = 791.17 × 349.31
  4. Step 4: Simplify right side
    573.46x = 276,358.76
  5. Step 5: Solve for x
    x = 276,358.76/573.46
  6. Step 6: Final answer
    x = 481.91

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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.