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Finding the Fourth Proportional to 567.29, 850.41 and 201.85

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Solution

The fourth proportional to 567.29, 850.41 and 201.85 is: 302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.29 : 850.41 = 201.85 : x
  2. Step 2: Convert to fraction form
    567.29/850.41 = 201.85/x
  3. Step 3: Cross multiply
    567.29x = 850.41 × 201.85
  4. Step 4: Simplify right side
    567.29x = 171,655.26
  5. Step 5: Solve for x
    x = 171,655.26/567.29
  6. Step 6: Final answer
    x = 302.59

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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.