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Finding the Fourth Proportional to 494.96, 742.44 and 340.42

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Solution

The fourth proportional to 494.96, 742.44 and 340.42 is: 510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.96 : 742.44 = 340.42 : x
  2. Step 2: Convert to fraction form
    494.96/742.44 = 340.42/x
  3. Step 3: Cross multiply
    494.96x = 742.44 × 340.42
  4. Step 4: Simplify right side
    494.96x = 252,738.72
  5. Step 5: Solve for x
    x = 252,738.72/494.96
  6. Step 6: Final answer
    x = 510.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.