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Finding the Fourth Proportional to 584.12, 806.09 and 335.46

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Solution

The fourth proportional to 584.12, 806.09 and 335.46 is: 462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.12 : 806.09 = 335.46 : x
  2. Step 2: Convert to fraction form
    584.12/806.09 = 335.46/x
  3. Step 3: Cross multiply
    584.12x = 806.09 × 335.46
  4. Step 4: Simplify right side
    584.12x = 270,408.71
  5. Step 5: Solve for x
    x = 270,408.71/584.12
  6. Step 6: Final answer
    x = 462.93

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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.