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Finding the Fourth Proportional to 573.19, 791.01 and 311.21

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Solution

The fourth proportional to 573.19, 791.01 and 311.21 is: 429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.19 : 791.01 = 311.21 : x
  2. Step 2: Convert to fraction form
    573.19/791.01 = 311.21/x
  3. Step 3: Cross multiply
    573.19x = 791.01 × 311.21
  4. Step 4: Simplify right side
    573.19x = 246,170.22
  5. Step 5: Solve for x
    x = 246,170.22/573.19
  6. Step 6: Final answer
    x = 429.47

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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.