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Finding the Fourth Proportional to 417.27, 625.90 and 200.80

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Solution

The fourth proportional to 417.27, 625.90 and 200.80 is: 301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.27 : 625.90 = 200.80 : x
  2. Step 2: Convert to fraction form
    417.27/625.90 = 200.80/x
  3. Step 3: Cross multiply
    417.27x = 625.90 × 200.80
  4. Step 4: Simplify right side
    417.27x = 125,680.72
  5. Step 5: Solve for x
    x = 125,680.72/417.27
  6. Step 6: Final answer
    x = 301.20

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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.