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Finding the Fourth Proportional to 567.63, 850.94 and 274.97

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Solution

The fourth proportional to 567.63, 850.94 and 274.97 is: 412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.63 : 850.94 = 274.97 : x
  2. Step 2: Convert to fraction form
    567.63/850.94 = 274.97/x
  3. Step 3: Cross multiply
    567.63x = 850.94 × 274.97
  4. Step 4: Simplify right side
    567.63x = 233,982.97
  5. Step 5: Solve for x
    x = 233,982.97/567.63
  6. Step 6: Final answer
    x = 412.21

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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.