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Finding the Fourth Proportional to 584.43, 806.51 and 322.44

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Solution

The fourth proportional to 584.43, 806.51 and 322.44 is: 444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.43 : 806.51 = 322.44 : x
  2. Step 2: Convert to fraction form
    584.43/806.51 = 322.44/x
  3. Step 3: Cross multiply
    584.43x = 806.51 × 322.44
  4. Step 4: Simplify right side
    584.43x = 260,049.47
  5. Step 5: Solve for x
    x = 260,049.47/584.43
  6. Step 6: Final answer
    x = 444.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.