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Finding the Fourth Proportional to 723.32, 998.10 and 408.54

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Solution

The fourth proportional to 723.32, 998.10 and 408.54 is: 563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.32 : 998.10 = 408.54 : x
  2. Step 2: Convert to fraction form
    723.32/998.10 = 408.54/x
  3. Step 3: Cross multiply
    723.32x = 998.10 × 408.54
  4. Step 4: Simplify right side
    723.32x = 407,763.77
  5. Step 5: Solve for x
    x = 407,763.77/723.32
  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.