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Finding the Fourth Proportional to 506.19, 698.49 and 296.31

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Solution

The fourth proportional to 506.19, 698.49 and 296.31 is: 408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.19 : 698.49 = 296.31 : x
  2. Step 2: Convert to fraction form
    506.19/698.49 = 296.31/x
  3. Step 3: Cross multiply
    506.19x = 698.49 × 296.31
  4. Step 4: Simplify right side
    506.19x = 206,969.57
  5. Step 5: Solve for x
    x = 206,969.57/506.19
  6. Step 6: Final answer
    x = 408.88

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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.