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Finding the Fourth Proportional to 506.00, 698.94 and 408.12

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Solution

The fourth proportional to 506.00, 698.94 and 408.12 is: 563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.00 : 698.94 = 408.12 : x
  2. Step 2: Convert to fraction form
    506.00/698.94 = 408.12/x
  3. Step 3: Cross multiply
    506.00x = 698.94 × 408.12
  4. Step 4: Simplify right side
    506.00x = 285,251.39
  5. Step 5: Solve for x
    x = 285,251.39/506.00
  6. Step 6: Final answer
    x = 563.74

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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.