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Finding the Fourth Proportional to 605.88, 913.44 and 564.12

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Solution

The fourth proportional to 605.88, 913.44 and 564.12 is: 850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.88 : 913.44 = 564.12 : x
  2. Step 2: Convert to fraction form
    605.88/913.44 = 564.12/x
  3. Step 3: Cross multiply
    605.88x = 913.44 × 564.12
  4. Step 4: Simplify right side
    605.88x = 515,289.77
  5. Step 5: Solve for x
    x = 515,289.77/605.88
  6. Step 6: Final answer
    x = 850.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.