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Finding the Fourth Proportional to 682.48, 1,024.26 and 298

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Solution

The fourth proportional to 682.48, 1,024.26 and 298 is: 447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.48 : 1,024.26 = 298 : x
  2. Step 2: Convert to fraction form
    682.48/1,024.26 = 298/x
  3. Step 3: Cross multiply
    682.48x = 1,024.26 × 298
  4. Step 4: Simplify right side
    682.48x = 305,229.48
  5. Step 5: Solve for x
    x = 305,229.48/682.48
  6. Step 6: Final answer
    x = 447.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.