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Finding the Fourth Proportional to 723.05, 997.60 and 408.20

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Solution

The fourth proportional to 723.05, 997.60 and 408.20 is: 563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.05 : 997.60 = 408.20 : x
  2. Step 2: Convert to fraction form
    723.05/997.60 = 408.20/x
  3. Step 3: Cross multiply
    723.05x = 997.60 × 408.20
  4. Step 4: Simplify right side
    723.05x = 407,220.69
  5. Step 5: Solve for x
    x = 407,220.69/723.05
  6. Step 6: Final answer
    x = 563.20

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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.