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Finding the Fourth Proportional to 397.83, 596.75 and 105.31

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Solution

The fourth proportional to 397.83, 596.75 and 105.31 is: 157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.83 : 596.75 = 105.31 : x
  2. Step 2: Convert to fraction form
    397.83/596.75 = 105.31/x
  3. Step 3: Cross multiply
    397.83x = 596.75 × 105.31
  4. Step 4: Simplify right side
    397.83x = 62,843.74
  5. Step 5: Solve for x
    x = 62,843.74/397.83
  6. Step 6: Final answer
    x = 157.97

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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.