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Finding the Fourth Proportional to 724.16, 998.97 and 461.90

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Solution

The fourth proportional to 724.16, 998.97 and 461.90 is: 637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.16 : 998.97 = 461.90 : x
  2. Step 2: Convert to fraction form
    724.16/998.97 = 461.90/x
  3. Step 3: Cross multiply
    724.16x = 998.97 × 461.90
  4. Step 4: Simplify right side
    724.16x = 461,424.24
  5. Step 5: Solve for x
    x = 461,424.24/724.16
  6. Step 6: Final answer
    x = 637.19

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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.