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Finding the Fourth Proportional to 397.97, 596.91 and 124.05

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Solution

The fourth proportional to 397.97, 596.91 and 124.05 is: 186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.97 : 596.91 = 124.05 : x
  2. Step 2: Convert to fraction form
    397.97/596.91 = 124.05/x
  3. Step 3: Cross multiply
    397.97x = 596.91 × 124.05
  4. Step 4: Simplify right side
    397.97x = 74,046.69
  5. Step 5: Solve for x
    x = 74,046.69/397.97
  6. Step 6: Final answer
    x = 186.06

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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.