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Finding the Fourth Proportional to 584.26, 806.34 and 335.58

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Solution

The fourth proportional to 584.26, 806.34 and 335.58 is: 463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.26 : 806.34 = 335.58 : x
  2. Step 2: Convert to fraction form
    584.26/806.34 = 335.58/x
  3. Step 3: Cross multiply
    584.26x = 806.34 × 335.58
  4. Step 4: Simplify right side
    584.26x = 270,591.58
  5. Step 5: Solve for x
    x = 270,591.58/584.26
  6. Step 6: Final answer
    x = 463.14

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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.