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Finding the Fourth Proportional to 427.91, 642.17 and 197.06

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Solution

The fourth proportional to 427.91, 642.17 and 197.06 is: 295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.91 : 642.17 = 197.06 : x
  2. Step 2: Convert to fraction form
    427.91/642.17 = 197.06/x
  3. Step 3: Cross multiply
    427.91x = 642.17 × 197.06
  4. Step 4: Simplify right side
    427.91x = 126,545.03
  5. Step 5: Solve for x
    x = 126,545.03/427.91
  6. Step 6: Final answer
    x = 295.73

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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.