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Finding the Fourth Proportional to 584.41, 806.21 and 363.62

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Solution

The fourth proportional to 584.41, 806.21 and 363.62 is: 501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.41 : 806.21 = 363.62 : x
  2. Step 2: Convert to fraction form
    584.41/806.21 = 363.62/x
  3. Step 3: Cross multiply
    584.41x = 806.21 × 363.62
  4. Step 4: Simplify right side
    584.41x = 293,152.26
  5. Step 5: Solve for x
    x = 293,152.26/584.41
  6. Step 6: Final answer
    x = 501.62

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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.