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Finding the Fourth Proportional to 567.12, 850.27 and 242.31

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Solution

The fourth proportional to 567.12, 850.27 and 242.31 is: 363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.12 : 850.27 = 242.31 : x
  2. Step 2: Convert to fraction form
    567.12/850.27 = 242.31/x
  3. Step 3: Cross multiply
    567.12x = 850.27 × 242.31
  4. Step 4: Simplify right side
    567.12x = 206,028.92
  5. Step 5: Solve for x
    x = 206,028.92/567.12
  6. Step 6: Final answer
    x = 363.29

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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.