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Finding the Fourth Proportional to 583.96, 806.25 and 363.22

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Solution

The fourth proportional to 583.96, 806.25 and 363.22 is: 501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.96 : 806.25 = 363.22 : x
  2. Step 2: Convert to fraction form
    583.96/806.25 = 363.22/x
  3. Step 3: Cross multiply
    583.96x = 806.25 × 363.22
  4. Step 4: Simplify right side
    583.96x = 292,846.13
  5. Step 5: Solve for x
    x = 292,846.13/583.96
  6. Step 6: Final answer
    x = 501.48

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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.