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Finding the Fourth Proportional to 493.42, 743.52 and 408.66

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Solution

The fourth proportional to 493.42, 743.52 and 408.66 is: 615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.42 : 743.52 = 408.66 : x
  2. Step 2: Convert to fraction form
    493.42/743.52 = 408.66/x
  3. Step 3: Cross multiply
    493.42x = 743.52 × 408.66
  4. Step 4: Simplify right side
    493.42x = 303,846.88
  5. Step 5: Solve for x
    x = 303,846.88/493.42
  6. Step 6: Final answer
    x = 615.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.