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Finding the Fourth Proportional to 417.39, 626.13 and 200.81

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Solution

The fourth proportional to 417.39, 626.13 and 200.81 is: 301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.39 : 626.13 = 200.81 : x
  2. Step 2: Convert to fraction form
    417.39/626.13 = 200.81/x
  3. Step 3: Cross multiply
    417.39x = 626.13 × 200.81
  4. Step 4: Simplify right side
    417.39x = 125,734.73
  5. Step 5: Solve for x
    x = 125,734.73/417.39
  6. Step 6: Final answer
    x = 301.24

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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.