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Finding the Fourth Proportional to 723.53, 998.42 and 408.83

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Solution

The fourth proportional to 723.53, 998.42 and 408.83 is: 564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.53 : 998.42 = 408.83 : x
  2. Step 2: Convert to fraction form
    723.53/998.42 = 408.83/x
  3. Step 3: Cross multiply
    723.53x = 998.42 × 408.83
  4. Step 4: Simplify right side
    723.53x = 408,184.05
  5. Step 5: Solve for x
    x = 408,184.05/723.53
  6. Step 6: Final answer
    x = 564.16

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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.