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Finding the Fourth Proportional to 397.82, 596.42 and 189.48

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Solution

The fourth proportional to 397.82, 596.42 and 189.48 is: 284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.82 : 596.42 = 189.48 : x
  2. Step 2: Convert to fraction form
    397.82/596.42 = 189.48/x
  3. Step 3: Cross multiply
    397.82x = 596.42 × 189.48
  4. Step 4: Simplify right side
    397.82x = 113,010.14
  5. Step 5: Solve for x
    x = 113,010.14/397.82
  6. Step 6: Final answer
    x = 284.07

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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.