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Finding the Fourth Proportional to 422.24, 582.46 and 356.64

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Solution

The fourth proportional to 422.24, 582.46 and 356.64 is: 491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.24 : 582.46 = 356.64 : x
  2. Step 2: Convert to fraction form
    422.24/582.46 = 356.64/x
  3. Step 3: Cross multiply
    422.24x = 582.46 × 356.64
  4. Step 4: Simplify right side
    422.24x = 207,728.53
  5. Step 5: Solve for x
    x = 207,728.53/422.24
  6. Step 6: Final answer
    x = 491.97

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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.