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Finding the Fourth Proportional to 419.56, 578.82 and 331.88

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Solution

The fourth proportional to 419.56, 578.82 and 331.88 is: 457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.56 : 578.82 = 331.88 : x
  2. Step 2: Convert to fraction form
    419.56/578.82 = 331.88/x
  3. Step 3: Cross multiply
    419.56x = 578.82 × 331.88
  4. Step 4: Simplify right side
    419.56x = 192,098.78
  5. Step 5: Solve for x
    x = 192,098.78/419.56
  6. Step 6: Final answer
    x = 457.86

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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.