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Finding the Fourth Proportional to 474.34, 709.96 and 408.73

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Solution

The fourth proportional to 474.34, 709.96 and 408.73 is: 611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.34 : 709.96 = 408.73 : x
  2. Step 2: Convert to fraction form
    474.34/709.96 = 408.73/x
  3. Step 3: Cross multiply
    474.34x = 709.96 × 408.73
  4. Step 4: Simplify right side
    474.34x = 290,181.95
  5. Step 5: Solve for x
    x = 290,181.95/474.34
  6. Step 6: Final answer
    x = 611.76

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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.