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Finding the Fourth Proportional to 506.23, 698.35 and 296.41

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Solution

The fourth proportional to 506.23, 698.35 and 296.41 is: 408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.23 : 698.35 = 296.41 : x
  2. Step 2: Convert to fraction form
    506.23/698.35 = 296.41/x
  3. Step 3: Cross multiply
    506.23x = 698.35 × 296.41
  4. Step 4: Simplify right side
    506.23x = 206,995.44
  5. Step 5: Solve for x
    x = 206,995.44/506.23
  6. Step 6: Final answer
    x = 408.90

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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.