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Finding the Fourth Proportional to 474, 711.27 and 200.27

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Solution

The fourth proportional to 474, 711.27 and 200.27 is: 300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 711.27 = 200.27 : x
  2. Step 2: Convert to fraction form
    474/711.27 = 200.27/x
  3. Step 3: Cross multiply
    474x = 711.27 × 200.27
  4. Step 4: Simplify right side
    474x = 142,442.49
  5. Step 5: Solve for x
    x = 142,442.49/474
  6. Step 6: Final answer
    x = 300.51

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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.