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Finding the Fourth Proportional to 494.24, 742.32 and 408.76

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Solution

The fourth proportional to 494.24, 742.32 and 408.76 is: 613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.24 : 742.32 = 408.76 : x
  2. Step 2: Convert to fraction form
    494.24/742.32 = 408.76/x
  3. Step 3: Cross multiply
    494.24x = 742.32 × 408.76
  4. Step 4: Simplify right side
    494.24x = 303,430.72
  5. Step 5: Solve for x
    x = 303,430.72/494.24
  6. Step 6: Final answer
    x = 613.93

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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.