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Finding the Fourth Proportional to 573.56, 791.49 and 311.57

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Solution

The fourth proportional to 573.56, 791.49 and 311.57 is: 429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.56 : 791.49 = 311.57 : x
  2. Step 2: Convert to fraction form
    573.56/791.49 = 311.57/x
  3. Step 3: Cross multiply
    573.56x = 791.49 × 311.57
  4. Step 4: Simplify right side
    573.56x = 246,606.52
  5. Step 5: Solve for x
    x = 246,606.52/573.56
  6. Step 6: Final answer
    x = 429.96

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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.