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Finding the Fourth Proportional to 584.26, 806.27 and 322.28

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Solution

The fourth proportional to 584.26, 806.27 and 322.28 is: 444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.26 : 806.27 = 322.28 : x
  2. Step 2: Convert to fraction form
    584.26/806.27 = 322.28/x
  3. Step 3: Cross multiply
    584.26x = 806.27 × 322.28
  4. Step 4: Simplify right side
    584.26x = 259,845.50
  5. Step 5: Solve for x
    x = 259,845.50/584.26
  6. Step 6: Final answer
    x = 444.74

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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.