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Finding the Fourth Proportional to 596.57, 823.28 and 397.73

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Solution

The fourth proportional to 596.57, 823.28 and 397.73 is: 548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.57 : 823.28 = 397.73 : x
  2. Step 2: Convert to fraction form
    596.57/823.28 = 397.73/x
  3. Step 3: Cross multiply
    596.57x = 823.28 × 397.73
  4. Step 4: Simplify right side
    596.57x = 327,443.22
  5. Step 5: Solve for x
    x = 327,443.22/596.57
  6. Step 6: Final answer
    x = 548.88

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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.