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Finding the Fourth Proportional to 723.64, 998.91 and 443.95

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Solution

The fourth proportional to 723.64, 998.91 and 443.95 is: 612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.64 : 998.91 = 443.95 : x
  2. Step 2: Convert to fraction form
    723.64/998.91 = 443.95/x
  3. Step 3: Cross multiply
    723.64x = 998.91 × 443.95
  4. Step 4: Simplify right side
    723.64x = 443,466.09
  5. Step 5: Solve for x
    x = 443,466.09/723.64
  6. Step 6: Final answer
    x = 612.83

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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.