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Finding the Fourth Proportional to 494.89, 682.98 and 298.47

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Solution

The fourth proportional to 494.89, 682.98 and 298.47 is: 411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.89 : 682.98 = 298.47 : x
  2. Step 2: Convert to fraction form
    494.89/682.98 = 298.47/x
  3. Step 3: Cross multiply
    494.89x = 682.98 × 298.47
  4. Step 4: Simplify right side
    494.89x = 203,849.04
  5. Step 5: Solve for x
    x = 203,849.04/494.89
  6. Step 6: Final answer
    x = 411.91

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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.