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Finding the Fourth Proportional to 506.75, 699.26 and 296.92

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Solution

The fourth proportional to 506.75, 699.26 and 296.92 is: 409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.75 : 699.26 = 296.92 : x
  2. Step 2: Convert to fraction form
    506.75/699.26 = 296.92/x
  3. Step 3: Cross multiply
    506.75x = 699.26 × 296.92
  4. Step 4: Simplify right side
    506.75x = 207,621.05
  5. Step 5: Solve for x
    x = 207,621.05/506.75
  6. Step 6: Final answer
    x = 409.71

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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.