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Finding the Fourth Proportional to 397.28, 596.01 and 181.01

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Solution

The fourth proportional to 397.28, 596.01 and 181.01 is: 271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.28 : 596.01 = 181.01 : x
  2. Step 2: Convert to fraction form
    397.28/596.01 = 181.01/x
  3. Step 3: Cross multiply
    397.28x = 596.01 × 181.01
  4. Step 4: Simplify right side
    397.28x = 107,883.77
  5. Step 5: Solve for x
    x = 107,883.77/397.28
  6. Step 6: Final answer
    x = 271.56

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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.