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Finding the Fourth Proportional to 584.07, 805.96 and 335.41

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Solution

The fourth proportional to 584.07, 805.96 and 335.41 is: 462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.07 : 805.96 = 335.41 : x
  2. Step 2: Convert to fraction form
    584.07/805.96 = 335.41/x
  3. Step 3: Cross multiply
    584.07x = 805.96 × 335.41
  4. Step 4: Simplify right side
    584.07x = 270,327.04
  5. Step 5: Solve for x
    x = 270,327.04/584.07
  6. Step 6: Final answer
    x = 462.83

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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.