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Finding the Fourth Proportional to 723.24, 997.86 and 447.24

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Solution

The fourth proportional to 723.24, 997.86 and 447.24 is: 617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 997.86 = 447.24 : x
  2. Step 2: Convert to fraction form
    723.24/997.86 = 447.24/x
  3. Step 3: Cross multiply
    723.24x = 997.86 × 447.24
  4. Step 4: Simplify right side
    723.24x = 446,282.91
  5. Step 5: Solve for x
    x = 446,282.91/723.24
  6. Step 6: Final answer
    x = 617.06

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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.