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Finding the Fourth Proportional to 506.67, 698.26 and 395.97

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Solution

The fourth proportional to 506.67, 698.26 and 395.97 is: 545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.67 : 698.26 = 395.97 : x
  2. Step 2: Convert to fraction form
    506.67/698.26 = 395.97/x
  3. Step 3: Cross multiply
    506.67x = 698.26 × 395.97
  4. Step 4: Simplify right side
    506.67x = 276,490.01
  5. Step 5: Solve for x
    x = 276,490.01/506.67
  6. Step 6: Final answer
    x = 545.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.