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Finding the Fourth Proportional to 494.92, 682.56 and 370.86

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Solution

The fourth proportional to 494.92, 682.56 and 370.86 is: 511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.92 : 682.56 = 370.86 : x
  2. Step 2: Convert to fraction form
    494.92/682.56 = 370.86/x
  3. Step 3: Cross multiply
    494.92x = 682.56 × 370.86
  4. Step 4: Simplify right side
    494.92x = 253,134.20
  5. Step 5: Solve for x
    x = 253,134.20/494.92
  6. Step 6: Final answer
    x = 511.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.