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Finding the Fourth Proportional to 584.50, 806.67 and 335.78

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Solution

The fourth proportional to 584.50, 806.67 and 335.78 is: 463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.50 : 806.67 = 335.78 : x
  2. Step 2: Convert to fraction form
    584.50/806.67 = 335.78/x
  3. Step 3: Cross multiply
    584.50x = 806.67 × 335.78
  4. Step 4: Simplify right side
    584.50x = 270,863.65
  5. Step 5: Solve for x
    x = 270,863.65/584.50
  6. Step 6: Final answer
    x = 463.41

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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.