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Finding the Fourth Proportional to 422.09, 582.44 and 247.53

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Solution

The fourth proportional to 422.09, 582.44 and 247.53 is: 341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.09 : 582.44 = 247.53 : x
  2. Step 2: Convert to fraction form
    422.09/582.44 = 247.53/x
  3. Step 3: Cross multiply
    422.09x = 582.44 × 247.53
  4. Step 4: Simplify right side
    422.09x = 144,170.14
  5. Step 5: Solve for x
    x = 144,170.14/422.09
  6. Step 6: Final answer
    x = 341.57

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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.