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Finding the Fourth Proportional to 584.35, 806.37 and 335.49

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Solution

The fourth proportional to 584.35, 806.37 and 335.49 is: 462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.35 : 806.37 = 335.49 : x
  2. Step 2: Convert to fraction form
    584.35/806.37 = 335.49/x
  3. Step 3: Cross multiply
    584.35x = 806.37 × 335.49
  4. Step 4: Simplify right side
    584.35x = 270,528.23
  5. Step 5: Solve for x
    x = 270,528.23/584.35
  6. Step 6: Final answer
    x = 462.96

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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.