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Finding the Fourth Proportional to 506.09, 698.41 and 296.42

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Solution

The fourth proportional to 506.09, 698.41 and 296.42 is: 409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.09 : 698.41 = 296.42 : x
  2. Step 2: Convert to fraction form
    506.09/698.41 = 296.42/x
  3. Step 3: Cross multiply
    506.09x = 698.41 × 296.42
  4. Step 4: Simplify right side
    506.09x = 207,020.58
  5. Step 5: Solve for x
    x = 207,020.58/506.09
  6. Step 6: Final answer
    x = 409.06

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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.