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Finding the Fourth Proportional to 584.43, 806.72 and 363.57

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Solution

The fourth proportional to 584.43, 806.72 and 363.57 is: 501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.43 : 806.72 = 363.57 : x
  2. Step 2: Convert to fraction form
    584.43/806.72 = 363.57/x
  3. Step 3: Cross multiply
    584.43x = 806.72 × 363.57
  4. Step 4: Simplify right side
    584.43x = 293,297.37
  5. Step 5: Solve for x
    x = 293,297.37/584.43
  6. Step 6: Final answer
    x = 501.85

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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.