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Finding the Fourth Proportional to 573.73, 791.75 and 311.75

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Solution

The fourth proportional to 573.73, 791.75 and 311.75 is: 430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.73 : 791.75 = 311.75 : x
  2. Step 2: Convert to fraction form
    573.73/791.75 = 311.75/x
  3. Step 3: Cross multiply
    573.73x = 791.75 × 311.75
  4. Step 4: Simplify right side
    573.73x = 246,828.06
  5. Step 5: Solve for x
    x = 246,828.06/573.73
  6. Step 6: Final answer
    x = 430.22

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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.