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Finding the Fourth Proportional to 567.43, 850.74 and 220.48

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Solution

The fourth proportional to 567.43, 850.74 and 220.48 is: 330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.43 : 850.74 = 220.48 : x
  2. Step 2: Convert to fraction form
    567.43/850.74 = 220.48/x
  3. Step 3: Cross multiply
    567.43x = 850.74 × 220.48
  4. Step 4: Simplify right side
    567.43x = 187,571.16
  5. Step 5: Solve for x
    x = 187,571.16/567.43
  6. Step 6: Final answer
    x = 330.56

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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.