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Finding the Fourth Proportional to 723.22, 997.68 and 461.46

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Solution

The fourth proportional to 723.22, 997.68 and 461.46 is: 636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.22 : 997.68 = 461.46 : x
  2. Step 2: Convert to fraction form
    723.22/997.68 = 461.46/x
  3. Step 3: Cross multiply
    723.22x = 997.68 × 461.46
  4. Step 4: Simplify right side
    723.22x = 460,389.41
  5. Step 5: Solve for x
    x = 460,389.41/723.22
  6. Step 6: Final answer
    x = 636.58

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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.