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Finding the Fourth Proportional to 417.98, 626.94 and 200.90

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Solution

The fourth proportional to 417.98, 626.94 and 200.90 is: 301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.98 : 626.94 = 200.90 : x
  2. Step 2: Convert to fraction form
    417.98/626.94 = 200.90/x
  3. Step 3: Cross multiply
    417.98x = 626.94 × 200.90
  4. Step 4: Simplify right side
    417.98x = 125,949.11
  5. Step 5: Solve for x
    x = 125,949.11/417.98
  6. Step 6: Final answer
    x = 301.33

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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.