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Finding the Fourth Proportional to 397.11, 596.03 and 180.75

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Solution

The fourth proportional to 397.11, 596.03 and 180.75 is: 271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.11 : 596.03 = 180.75 : x
  2. Step 2: Convert to fraction form
    397.11/596.03 = 180.75/x
  3. Step 3: Cross multiply
    397.11x = 596.03 × 180.75
  4. Step 4: Simplify right side
    397.11x = 107,731.52
  5. Step 5: Solve for x
    x = 107,731.52/397.11
  6. Step 6: Final answer
    x = 271.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.