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Finding the Fourth Proportional to 494.59, 682.11 and 370.54

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Solution

The fourth proportional to 494.59, 682.11 and 370.54 is: 511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.59 : 682.11 = 370.54 : x
  2. Step 2: Convert to fraction form
    494.59/682.11 = 370.54/x
  3. Step 3: Cross multiply
    494.59x = 682.11 × 370.54
  4. Step 4: Simplify right side
    494.59x = 252,747.33
  5. Step 5: Solve for x
    x = 252,747.33/494.59
  6. Step 6: Final answer
    x = 511.03

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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.