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Finding the Fourth Proportional to 397.31, 596.16 and 180.86

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Solution

The fourth proportional to 397.31, 596.16 and 180.86 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.31 : 596.16 = 180.86 : x
  2. Step 2: Convert to fraction form
    397.31/596.16 = 180.86/x
  3. Step 3: Cross multiply
    397.31x = 596.16 × 180.86
  4. Step 4: Simplify right side
    397.31x = 107,818.52
  5. Step 5: Solve for x
    x = 107,818.52/397.31
  6. Step 6: Final answer
    x = 271.37

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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.