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Finding the Fourth Proportional to 422.58, 582.97 and 247.85

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Solution

The fourth proportional to 422.58, 582.97 and 247.85 is: 341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.58 : 582.97 = 247.85 : x
  2. Step 2: Convert to fraction form
    422.58/582.97 = 247.85/x
  3. Step 3: Cross multiply
    422.58x = 582.97 × 247.85
  4. Step 4: Simplify right side
    422.58x = 144,489.11
  5. Step 5: Solve for x
    x = 144,489.11/422.58
  6. Step 6: Final answer
    x = 341.92

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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.