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Finding the Fourth Proportional to 723.44, 998.36 and 412.94

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Solution

The fourth proportional to 723.44, 998.36 and 412.94 is: 569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.44 : 998.36 = 412.94 : x
  2. Step 2: Convert to fraction form
    723.44/998.36 = 412.94/x
  3. Step 3: Cross multiply
    723.44x = 998.36 × 412.94
  4. Step 4: Simplify right side
    723.44x = 412,262.78
  5. Step 5: Solve for x
    x = 412,262.78/723.44
  6. Step 6: Final answer
    x = 569.86

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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.