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Finding the Fourth Proportional to 494.20, 677.04 and 475.73

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Solution

The fourth proportional to 494.20, 677.04 and 475.73 is: 651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 677.04 = 475.73 : x
  2. Step 2: Convert to fraction form
    494.20/677.04 = 475.73/x
  3. Step 3: Cross multiply
    494.20x = 677.04 × 475.73
  4. Step 4: Simplify right side
    494.20x = 322,088.24
  5. Step 5: Solve for x
    x = 322,088.24/494.20
  6. Step 6: Final answer
    x = 651.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.