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Finding the Fourth Proportional to 494.93, 682.40 and 363.71

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Solution

The fourth proportional to 494.93, 682.40 and 363.71 is: 501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.93 : 682.40 = 363.71 : x
  2. Step 2: Convert to fraction form
    494.93/682.40 = 363.71/x
  3. Step 3: Cross multiply
    494.93x = 682.40 × 363.71
  4. Step 4: Simplify right side
    494.93x = 248,193.20
  5. Step 5: Solve for x
    x = 248,193.20/494.93
  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.