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Finding the Fourth Proportional to 723.06, 997.65 and 443.25

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Solution

The fourth proportional to 723.06, 997.65 and 443.25 is: 611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.06 : 997.65 = 443.25 : x
  2. Step 2: Convert to fraction form
    723.06/997.65 = 443.25/x
  3. Step 3: Cross multiply
    723.06x = 997.65 × 443.25
  4. Step 4: Simplify right side
    723.06x = 442,208.36
  5. Step 5: Solve for x
    x = 442,208.36/723.06
  6. Step 6: Final answer
    x = 611.58

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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.