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Finding the Fourth Proportional to 583.70, 806.14 and 363.18

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Solution

The fourth proportional to 583.70, 806.14 and 363.18 is: 501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 806.14 = 363.18 : x
  2. Step 2: Convert to fraction form
    583.70/806.14 = 363.18/x
  3. Step 3: Cross multiply
    583.70x = 806.14 × 363.18
  4. Step 4: Simplify right side
    583.70x = 292,773.93
  5. Step 5: Solve for x
    x = 292,773.93/583.70
  6. Step 6: Final answer
    x = 501.58

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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.