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Finding the Fourth Proportional to 506.05, 698.32 and 296.25

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Solution

The fourth proportional to 506.05, 698.32 and 296.25 is: 408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.05 : 698.32 = 296.25 : x
  2. Step 2: Convert to fraction form
    506.05/698.32 = 296.25/x
  3. Step 3: Cross multiply
    506.05x = 698.32 × 296.25
  4. Step 4: Simplify right side
    506.05x = 206,877.30
  5. Step 5: Solve for x
    x = 206,877.30/506.05
  6. Step 6: Final answer
    x = 408.81

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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.