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Finding the Fourth Proportional to 584.32, 806.34 and 322.33

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Solution

The fourth proportional to 584.32, 806.34 and 322.33 is: 444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.32 : 806.34 = 322.33 : x
  2. Step 2: Convert to fraction form
    584.32/806.34 = 322.33/x
  3. Step 3: Cross multiply
    584.32x = 806.34 × 322.33
  4. Step 4: Simplify right side
    584.32x = 259,907.57
  5. Step 5: Solve for x
    x = 259,907.57/584.32
  6. Step 6: Final answer
    x = 444.80

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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.