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Finding the Fourth Proportional to 566.04, 849.46 and 200.86

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Solution

The fourth proportional to 566.04, 849.46 and 200.86 is: 301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.04 : 849.46 = 200.86 : x
  2. Step 2: Convert to fraction form
    566.04/849.46 = 200.86/x
  3. Step 3: Cross multiply
    566.04x = 849.46 × 200.86
  4. Step 4: Simplify right side
    566.04x = 170,622.54
  5. Step 5: Solve for x
    x = 170,622.54/566.04
  6. Step 6: Final answer
    x = 301.43

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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.