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Finding the Fourth Proportional to 397.69, 596.72 and 154.24

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Solution

The fourth proportional to 397.69, 596.72 and 154.24 is: 231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.69 : 596.72 = 154.24 : x
  2. Step 2: Convert to fraction form
    397.69/596.72 = 154.24/x
  3. Step 3: Cross multiply
    397.69x = 596.72 × 154.24
  4. Step 4: Simplify right side
    397.69x = 92,035.08
  5. Step 5: Solve for x
    x = 92,035.08/397.69
  6. Step 6: Final answer
    x = 231.42

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