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Finding the Fourth Proportional to 584.29, 806.29 and 335.44

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Solution

The fourth proportional to 584.29, 806.29 and 335.44 is: 462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.29 : 806.29 = 335.44 : x
  2. Step 2: Convert to fraction form
    584.29/806.29 = 335.44/x
  3. Step 3: Cross multiply
    584.29x = 806.29 × 335.44
  4. Step 4: Simplify right side
    584.29x = 270,459.06
  5. Step 5: Solve for x
    x = 270,459.06/584.29
  6. Step 6: Final answer
    x = 462.88

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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.