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Finding the Fourth Proportional to 573.23, 791.05 and 311.24

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Solution

The fourth proportional to 573.23, 791.05 and 311.24 is: 429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.23 : 791.05 = 311.24 : x
  2. Step 2: Convert to fraction form
    573.23/791.05 = 311.24/x
  3. Step 3: Cross multiply
    573.23x = 791.05 × 311.24
  4. Step 4: Simplify right side
    573.23x = 246,208.19
  5. Step 5: Solve for x
    x = 246,208.19/573.23
  6. Step 6: Final answer
    x = 429.51

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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.