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Finding the Fourth Proportional to 506.23, 698.61 and 296.56

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Solution

The fourth proportional to 506.23, 698.61 and 296.56 is: 409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.23 : 698.61 = 296.56 : x
  2. Step 2: Convert to fraction form
    506.23/698.61 = 296.56/x
  3. Step 3: Cross multiply
    506.23x = 698.61 × 296.56
  4. Step 4: Simplify right side
    506.23x = 207,179.78
  5. Step 5: Solve for x
    x = 207,179.78/506.23
  6. Step 6: Final answer
    x = 409.26

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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.