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Finding the Fourth Proportional to 397.59, 596.45 and 154.09

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Solution

The fourth proportional to 397.59, 596.45 and 154.09 is: 231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.59 : 596.45 = 154.09 : x
  2. Step 2: Convert to fraction form
    397.59/596.45 = 154.09/x
  3. Step 3: Cross multiply
    397.59x = 596.45 × 154.09
  4. Step 4: Simplify right side
    397.59x = 91,906.98
  5. Step 5: Solve for x
    x = 91,906.98/397.59
  6. Step 6: Final answer
    x = 231.16

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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.