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Finding the Fourth Proportional to 565.97, 849.33 and 200.76

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Solution

The fourth proportional to 565.97, 849.33 and 200.76 is: 301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.97 : 849.33 = 200.76 : x
  2. Step 2: Convert to fraction form
    565.97/849.33 = 200.76/x
  3. Step 3: Cross multiply
    565.97x = 849.33 × 200.76
  4. Step 4: Simplify right side
    565.97x = 170,511.49
  5. Step 5: Solve for x
    x = 170,511.49/565.97
  6. Step 6: Final answer
    x = 301.28

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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.