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Finding the Fourth Proportional to 723.17, 997.73 and 461.27

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Solution

The fourth proportional to 723.17, 997.73 and 461.27 is: 636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.17 : 997.73 = 461.27 : x
  2. Step 2: Convert to fraction form
    723.17/997.73 = 461.27/x
  3. Step 3: Cross multiply
    723.17x = 997.73 × 461.27
  4. Step 4: Simplify right side
    723.17x = 460,219.08
  5. Step 5: Solve for x
    x = 460,219.08/723.17
  6. Step 6: Final answer
    x = 636.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.