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Finding the Fourth Proportional to 474.27, 711.51 and 200.20

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Solution

The fourth proportional to 474.27, 711.51 and 200.20 is: 300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.27 : 711.51 = 200.20 : x
  2. Step 2: Convert to fraction form
    474.27/711.51 = 200.20/x
  3. Step 3: Cross multiply
    474.27x = 711.51 × 200.20
  4. Step 4: Simplify right side
    474.27x = 142,444.30
  5. Step 5: Solve for x
    x = 142,444.30/474.27
  6. Step 6: Final answer
    x = 300.34

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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.