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Finding the Fourth Proportional to 422.46, 582.89 and 247.71

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Solution

The fourth proportional to 422.46, 582.89 and 247.71 is: 341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.46 : 582.89 = 247.71 : x
  2. Step 2: Convert to fraction form
    422.46/582.89 = 247.71/x
  3. Step 3: Cross multiply
    422.46x = 582.89 × 247.71
  4. Step 4: Simplify right side
    422.46x = 144,386.44
  5. Step 5: Solve for x
    x = 144,386.44/422.46
  6. Step 6: Final answer
    x = 341.78

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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.