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Finding the Fourth Proportional to 723.12, 998.24 and 461.49

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Solution

The fourth proportional to 723.12, 998.24 and 461.49 is: 637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.12 : 998.24 = 461.49 : x
  2. Step 2: Convert to fraction form
    723.12/998.24 = 461.49/x
  3. Step 3: Cross multiply
    723.12x = 998.24 × 461.49
  4. Step 4: Simplify right side
    723.12x = 460,675.47
  5. Step 5: Solve for x
    x = 460,675.47/723.12
  6. Step 6: Final answer
    x = 637.07

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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.