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Finding the Fourth Proportional to 584.31, 806.25 and 335.64

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Solution

The fourth proportional to 584.31, 806.25 and 335.64 is: 463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.31 : 806.25 = 335.64 : x
  2. Step 2: Convert to fraction form
    584.31/806.25 = 335.64/x
  3. Step 3: Cross multiply
    584.31x = 806.25 × 335.64
  4. Step 4: Simplify right side
    584.31x = 270,614.03
  5. Step 5: Solve for x
    x = 270,614.03/584.31
  6. Step 6: Final answer
    x = 463.13

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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.