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Finding the Fourth Proportional to 584.20, 806.21 and 363.18

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Solution

The fourth proportional to 584.20, 806.21 and 363.18 is: 501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 806.21 = 363.18 : x
  2. Step 2: Convert to fraction form
    584.20/806.21 = 363.18/x
  3. Step 3: Cross multiply
    584.20x = 806.21 × 363.18
  4. Step 4: Simplify right side
    584.20x = 292,799.35
  5. Step 5: Solve for x
    x = 292,799.35/584.20
  6. Step 6: Final answer
    x = 501.20

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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.