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Finding the Fourth Proportional to 422.84, 584.24 and 408.06

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Solution

The fourth proportional to 422.84, 584.24 and 408.06 is: 563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.84 : 584.24 = 408.06 : x
  2. Step 2: Convert to fraction form
    422.84/584.24 = 408.06/x
  3. Step 3: Cross multiply
    422.84x = 584.24 × 408.06
  4. Step 4: Simplify right side
    422.84x = 238,400.01
  5. Step 5: Solve for x
    x = 238,400.01/422.84
  6. Step 6: Final answer
    x = 563.81

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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.