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Finding the Fourth Proportional to 506.22, 698.40 and 296.33

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Solution

The fourth proportional to 506.22, 698.40 and 296.33 is: 408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.22 : 698.40 = 296.33 : x
  2. Step 2: Convert to fraction form
    506.22/698.40 = 296.33/x
  3. Step 3: Cross multiply
    506.22x = 698.40 × 296.33
  4. Step 4: Simplify right side
    506.22x = 206,956.87
  5. Step 5: Solve for x
    x = 206,956.87/506.22
  6. Step 6: Final answer
    x = 408.83

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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.