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Finding the Fourth Proportional to 584.36, 806.32 and 335.67

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Solution

The fourth proportional to 584.36, 806.32 and 335.67 is: 463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.36 : 806.32 = 335.67 : x
  2. Step 2: Convert to fraction form
    584.36/806.32 = 335.67/x
  3. Step 3: Cross multiply
    584.36x = 806.32 × 335.67
  4. Step 4: Simplify right side
    584.36x = 270,657.43
  5. Step 5: Solve for x
    x = 270,657.43/584.36
  6. Step 6: Final answer
    x = 463.17

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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.