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Finding the Fourth Proportional to 584.62, 806.56 and 335.90

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Solution

The fourth proportional to 584.62, 806.56 and 335.90 is: 463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.62 : 806.56 = 335.90 : x
  2. Step 2: Convert to fraction form
    584.62/806.56 = 335.90/x
  3. Step 3: Cross multiply
    584.62x = 806.56 × 335.90
  4. Step 4: Simplify right side
    584.62x = 270,924.68
  5. Step 5: Solve for x
    x = 270,924.68/584.62
  6. Step 6: Final answer
    x = 463.42

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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.