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Finding the Fourth Proportional to 584.30, 806.33 and 322.31

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Solution

The fourth proportional to 584.30, 806.33 and 322.31 is: 444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.30 : 806.33 = 322.31 : x
  2. Step 2: Convert to fraction form
    584.30/806.33 = 322.31/x
  3. Step 3: Cross multiply
    584.30x = 806.33 × 322.31
  4. Step 4: Simplify right side
    584.30x = 259,891.04
  5. Step 5: Solve for x
    x = 259,891.04/584.30
  6. Step 6: Final answer
    x = 444.79

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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.