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Finding the Fourth Proportional to 723.03, 997.70 and 408.27

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Solution

The fourth proportional to 723.03, 997.70 and 408.27 is: 563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.03 : 997.70 = 408.27 : x
  2. Step 2: Convert to fraction form
    723.03/997.70 = 408.27/x
  3. Step 3: Cross multiply
    723.03x = 997.70 × 408.27
  4. Step 4: Simplify right side
    723.03x = 407,330.98
  5. Step 5: Solve for x
    x = 407,330.98/723.03
  6. Step 6: Final answer
    x = 563.37

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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.