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Finding the Fourth Proportional to 584.49, 806.73 and 363.61

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Solution

The fourth proportional to 584.49, 806.73 and 363.61 is: 501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.49 : 806.73 = 363.61 : x
  2. Step 2: Convert to fraction form
    584.49/806.73 = 363.61/x
  3. Step 3: Cross multiply
    584.49x = 806.73 × 363.61
  4. Step 4: Simplify right side
    584.49x = 293,335.10
  5. Step 5: Solve for x
    x = 293,335.10/584.49
  6. Step 6: Final answer
    x = 501.87

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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.