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Finding the Fourth Proportional to 506.21, 698.96 and 408.41

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Solution

The fourth proportional to 506.21, 698.96 and 408.41 is: 563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.21 : 698.96 = 408.41 : x
  2. Step 2: Convert to fraction form
    506.21/698.96 = 408.41/x
  3. Step 3: Cross multiply
    506.21x = 698.96 × 408.41
  4. Step 4: Simplify right side
    506.21x = 285,456.72
  5. Step 5: Solve for x
    x = 285,456.72/506.21
  6. Step 6: Final answer
    x = 563.92

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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.