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Finding the Fourth Proportional to 506.12, 698.40 and 296.29

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Solution

The fourth proportional to 506.12, 698.40 and 296.29 is: 408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.12 : 698.40 = 296.29 : x
  2. Step 2: Convert to fraction form
    506.12/698.40 = 296.29/x
  3. Step 3: Cross multiply
    506.12x = 698.40 × 296.29
  4. Step 4: Simplify right side
    506.12x = 206,927.19
  5. Step 5: Solve for x
    x = 206,927.19/506.12
  6. Step 6: Final answer
    x = 408.85

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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.