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Finding the Fourth Proportional to 584.31, 806.36 and 322.33

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Solution

The fourth proportional to 584.31, 806.36 and 322.33 is: 444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.31 : 806.36 = 322.33 : x
  2. Step 2: Convert to fraction form
    584.31/806.36 = 322.33/x
  3. Step 3: Cross multiply
    584.31x = 806.36 × 322.33
  4. Step 4: Simplify right side
    584.31x = 259,914.02
  5. Step 5: Solve for x
    x = 259,914.02/584.31
  6. Step 6: Final answer
    x = 444.82

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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.