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Finding the Fourth Proportional to 723.20, 998.08 and 408.46

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Solution

The fourth proportional to 723.20, 998.08 and 408.46 is: 563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.20 : 998.08 = 408.46 : x
  2. Step 2: Convert to fraction form
    723.20/998.08 = 408.46/x
  3. Step 3: Cross multiply
    723.20x = 998.08 × 408.46
  4. Step 4: Simplify right side
    723.20x = 407,675.76
  5. Step 5: Solve for x
    x = 407,675.76/723.20
  6. Step 6: Final answer
    x = 563.71

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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.