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Finding the Fourth Proportional to 422.55, 582.66 and 324.54

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Solution

The fourth proportional to 422.55, 582.66 and 324.54 is: 447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.55 : 582.66 = 324.54 : x
  2. Step 2: Convert to fraction form
    422.55/582.66 = 324.54/x
  3. Step 3: Cross multiply
    422.55x = 582.66 × 324.54
  4. Step 4: Simplify right side
    422.55x = 189,096.48
  5. Step 5: Solve for x
    x = 189,096.48/422.55
  6. Step 6: Final answer
    x = 447.51

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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.