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Finding the Fourth Proportional to 422.72, 582.40 and 329.14

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Solution

The fourth proportional to 422.72, 582.40 and 329.14 is: 453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.72 : 582.40 = 329.14 : x
  2. Step 2: Convert to fraction form
    422.72/582.40 = 329.14/x
  3. Step 3: Cross multiply
    422.72x = 582.40 × 329.14
  4. Step 4: Simplify right side
    422.72x = 191,691.14
  5. Step 5: Solve for x
    x = 191,691.14/422.72
  6. Step 6: Final answer
    x = 453.47

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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.