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Finding the Fourth Proportional to 584.03, 806.24 and 363.13

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Solution

The fourth proportional to 584.03, 806.24 and 363.13 is: 501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.03 : 806.24 = 363.13 : x
  2. Step 2: Convert to fraction form
    584.03/806.24 = 363.13/x
  3. Step 3: Cross multiply
    584.03x = 806.24 × 363.13
  4. Step 4: Simplify right side
    584.03x = 292,769.93
  5. Step 5: Solve for x
    x = 292,769.93/584.03
  6. Step 6: Final answer
    x = 501.29

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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.