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Finding the Fourth Proportional to 567.38, 850.26 and 242.48

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Solution

The fourth proportional to 567.38, 850.26 and 242.48 is: 363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.38 : 850.26 = 242.48 : x
  2. Step 2: Convert to fraction form
    567.38/850.26 = 242.48/x
  3. Step 3: Cross multiply
    567.38x = 850.26 × 242.48
  4. Step 4: Simplify right side
    567.38x = 206,171.04
  5. Step 5: Solve for x
    x = 206,171.04/567.38
  6. Step 6: Final answer
    x = 363.37

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Why These Related Problems?

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