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Finding the Fourth Proportional to 605.55, 906.39 and 385.41

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Solution

The fourth proportional to 605.55, 906.39 and 385.41 is: 576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.55 : 906.39 = 385.41 : x
  2. Step 2: Convert to fraction form
    605.55/906.39 = 385.41/x
  3. Step 3: Cross multiply
    605.55x = 906.39 × 385.41
  4. Step 4: Simplify right side
    605.55x = 349,331.77
  5. Step 5: Solve for x
    x = 349,331.77/605.55
  6. Step 6: Final answer
    x = 576.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.