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Finding the Fourth Proportional to 584.33, 806.37 and 335.65

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Solution

The fourth proportional to 584.33, 806.37 and 335.65 is: 463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.33 : 806.37 = 335.65 : x
  2. Step 2: Convert to fraction form
    584.33/806.37 = 335.65/x
  3. Step 3: Cross multiply
    584.33x = 806.37 × 335.65
  4. Step 4: Simplify right side
    584.33x = 270,654.06
  5. Step 5: Solve for x
    x = 270,654.06/584.33
  6. Step 6: Final answer
    x = 463.19

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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.