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Finding the Fourth Proportional to 422.18, 582.96 and 298.11

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Solution

The fourth proportional to 422.18, 582.96 and 298.11 is: 411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.18 : 582.96 = 298.11 : x
  2. Step 2: Convert to fraction form
    422.18/582.96 = 298.11/x
  3. Step 3: Cross multiply
    422.18x = 582.96 × 298.11
  4. Step 4: Simplify right side
    422.18x = 173,786.21
  5. Step 5: Solve for x
    x = 173,786.21/422.18
  6. Step 6: Final answer
    x = 411.64

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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.