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Finding the Fourth Proportional to 475.41, 655.90 and 327.78

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Solution

The fourth proportional to 475.41, 655.90 and 327.78 is: 452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.41 : 655.90 = 327.78 : x
  2. Step 2: Convert to fraction form
    475.41/655.90 = 327.78/x
  3. Step 3: Cross multiply
    475.41x = 655.90 × 327.78
  4. Step 4: Simplify right side
    475.41x = 214,990.90
  5. Step 5: Solve for x
    x = 214,990.90/475.41
  6. Step 6: Final answer
    x = 452.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.