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Finding the Fourth Proportional to 723.18, 997.44 and 461

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Solution

The fourth proportional to 723.18, 997.44 and 461 is: 635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.18 : 997.44 = 461 : x
  2. Step 2: Convert to fraction form
    723.18/997.44 = 461/x
  3. Step 3: Cross multiply
    723.18x = 997.44 × 461
  4. Step 4: Simplify right side
    723.18x = 459,819.84
  5. Step 5: Solve for x
    x = 459,819.84/723.18
  6. Step 6: Final answer
    x = 635.83

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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.