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Finding the Fourth Proportional to 422.30, 582.94 and 298.02

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Solution

The fourth proportional to 422.30, 582.94 and 298.02 is: 411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.30 : 582.94 = 298.02 : x
  2. Step 2: Convert to fraction form
    422.30/582.94 = 298.02/x
  3. Step 3: Cross multiply
    422.30x = 582.94 × 298.02
  4. Step 4: Simplify right side
    422.30x = 173,727.78
  5. Step 5: Solve for x
    x = 173,727.78/422.30
  6. Step 6: Final answer
    x = 411.38

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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.