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Finding the Fourth Proportional to 494.58, 682.52 and 298.11

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Solution

The fourth proportional to 494.58, 682.52 and 298.11 is: 411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.58 : 682.52 = 298.11 : x
  2. Step 2: Convert to fraction form
    494.58/682.52 = 298.11/x
  3. Step 3: Cross multiply
    494.58x = 682.52 × 298.11
  4. Step 4: Simplify right side
    494.58x = 203,464.55
  5. Step 5: Solve for x
    x = 203,464.55/494.58
  6. Step 6: Final answer
    x = 411.39

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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.