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Finding the Fourth Proportional to 397.96, 596.76 and 181.24

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Solution

The fourth proportional to 397.96, 596.76 and 181.24 is: 271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.96 : 596.76 = 181.24 : x
  2. Step 2: Convert to fraction form
    397.96/596.76 = 181.24/x
  3. Step 3: Cross multiply
    397.96x = 596.76 × 181.24
  4. Step 4: Simplify right side
    397.96x = 108,156.78
  5. Step 5: Solve for x
    x = 108,156.78/397.96
  6. Step 6: Final answer
    x = 271.78

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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.