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Finding the Fourth Proportional to 723.75, 998.37 and 444.12

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Solution

The fourth proportional to 723.75, 998.37 and 444.12 is: 612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.75 : 998.37 = 444.12 : x
  2. Step 2: Convert to fraction form
    723.75/998.37 = 444.12/x
  3. Step 3: Cross multiply
    723.75x = 998.37 × 444.12
  4. Step 4: Simplify right side
    723.75x = 443,396.08
  5. Step 5: Solve for x
    x = 443,396.08/723.75
  6. Step 6: Final answer
    x = 612.64

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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.