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Finding the Fourth Proportional to 723.34, 997.97 and 408.56

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Solution

The fourth proportional to 723.34, 997.97 and 408.56 is: 563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.34 : 997.97 = 408.56 : x
  2. Step 2: Convert to fraction form
    723.34/997.97 = 408.56/x
  3. Step 3: Cross multiply
    723.34x = 997.97 × 408.56
  4. Step 4: Simplify right side
    723.34x = 407,730.62
  5. Step 5: Solve for x
    x = 407,730.62/723.34
  6. Step 6: Final answer
    x = 563.68

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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.