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Finding the Fourth Proportional to 584.26, 806.22 and 322.21

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Solution

The fourth proportional to 584.26, 806.22 and 322.21 is: 444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.26 : 806.22 = 322.21 : x
  2. Step 2: Convert to fraction form
    584.26/806.22 = 322.21/x
  3. Step 3: Cross multiply
    584.26x = 806.22 × 322.21
  4. Step 4: Simplify right side
    584.26x = 259,772.15
  5. Step 5: Solve for x
    x = 259,772.15/584.26
  6. Step 6: Final answer
    x = 444.62

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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.