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Finding the Fourth Proportional to 584.22, 806.19 and 322.26

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Solution

The fourth proportional to 584.22, 806.19 and 322.26 is: 444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.22 : 806.19 = 322.26 : x
  2. Step 2: Convert to fraction form
    584.22/806.19 = 322.26/x
  3. Step 3: Cross multiply
    584.22x = 806.19 × 322.26
  4. Step 4: Simplify right side
    584.22x = 259,802.79
  5. Step 5: Solve for x
    x = 259,802.79/584.22
  6. Step 6: Final answer
    x = 444.70

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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.