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Finding the Fourth Proportional to 584.19, 806.27 and 363.38

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Solution

The fourth proportional to 584.19, 806.27 and 363.38 is: 501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.19 : 806.27 = 363.38 : x
  2. Step 2: Convert to fraction form
    584.19/806.27 = 363.38/x
  3. Step 3: Cross multiply
    584.19x = 806.27 × 363.38
  4. Step 4: Simplify right side
    584.19x = 292,976.54
  5. Step 5: Solve for x
    x = 292,976.54/584.19
  6. Step 6: Final answer
    x = 501.51

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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.