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Finding the Fourth Proportional to 723.26, 998.12 and 408.50

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Solution

The fourth proportional to 723.26, 998.12 and 408.50 is: 563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.26 : 998.12 = 408.50 : x
  2. Step 2: Convert to fraction form
    723.26/998.12 = 408.50/x
  3. Step 3: Cross multiply
    723.26x = 998.12 × 408.50
  4. Step 4: Simplify right side
    723.26x = 407,732.02
  5. Step 5: Solve for x
    x = 407,732.02/723.26
  6. Step 6: Final answer
    x = 563.74

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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.