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Finding the Fourth Proportional to 605.25, 906.39 and 558

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Solution

The fourth proportional to 605.25, 906.39 and 558 is: 835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.25 : 906.39 = 558 : x
  2. Step 2: Convert to fraction form
    605.25/906.39 = 558/x
  3. Step 3: Cross multiply
    605.25x = 906.39 × 558
  4. Step 4: Simplify right side
    605.25x = 505,765.62
  5. Step 5: Solve for x
    x = 505,765.62/605.25
  6. Step 6: Final answer
    x = 835.63

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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.