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Finding the Fourth Proportional to 422.94, 582.76 and 422.13

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Solution

The fourth proportional to 422.94, 582.76 and 422.13 is: 581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.94 : 582.76 = 422.13 : x
  2. Step 2: Convert to fraction form
    422.94/582.76 = 422.13/x
  3. Step 3: Cross multiply
    422.94x = 582.76 × 422.13
  4. Step 4: Simplify right side
    422.94x = 246,000.48
  5. Step 5: Solve for x
    x = 246,000.48/422.94
  6. Step 6: Final answer
    x = 581.64

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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.