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Finding the Fourth Proportional to 723.94, 998.83 and 444.18

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Solution

The fourth proportional to 723.94, 998.83 and 444.18 is: 612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.94 : 998.83 = 444.18 : x
  2. Step 2: Convert to fraction form
    723.94/998.83 = 444.18/x
  3. Step 3: Cross multiply
    723.94x = 998.83 × 444.18
  4. Step 4: Simplify right side
    723.94x = 443,664.61
  5. Step 5: Solve for x
    x = 443,664.61/723.94
  6. Step 6: Final answer
    x = 612.85

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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.