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Finding the Fourth Proportional to 723, 997.68 and 408.22

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Solution

The fourth proportional to 723, 997.68 and 408.22 is: 563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    723 : 997.68 = 408.22 : x
  2. Step 2: Convert to fraction form
    723/997.68 = 408.22/x
  3. Step 3: Cross multiply
    723x = 997.68 × 408.22
  4. Step 4: Simplify right side
    723x = 407,272.93
  5. Step 5: Solve for x
    x = 407,272.93/723
  6. Step 6: Final answer
    x = 563.31

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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.