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Finding the Fourth Proportional to 573.64, 791.64 and 311.66

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Solution

The fourth proportional to 573.64, 791.64 and 311.66 is: 430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.64 : 791.64 = 311.66 : x
  2. Step 2: Convert to fraction form
    573.64/791.64 = 311.66/x
  3. Step 3: Cross multiply
    573.64x = 791.64 × 311.66
  4. Step 4: Simplify right side
    573.64x = 246,721.33
  5. Step 5: Solve for x
    x = 246,721.33/573.64
  6. Step 6: Final answer
    x = 430.09

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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.