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Finding the Fourth Proportional to 723.55, 998.52 and 408.80

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Solution

The fourth proportional to 723.55, 998.52 and 408.80 is: 564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.55 : 998.52 = 408.80 : x
  2. Step 2: Convert to fraction form
    723.55/998.52 = 408.80/x
  3. Step 3: Cross multiply
    723.55x = 998.52 × 408.80
  4. Step 4: Simplify right side
    723.55x = 408,192.93
  5. Step 5: Solve for x
    x = 408,192.93/723.55
  6. Step 6: Final answer
    x = 564.15

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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.