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Finding the Fourth Proportional to 417.92, 626.48 and 201.28

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Solution

The fourth proportional to 417.92, 626.48 and 201.28 is: 301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.92 : 626.48 = 201.28 : x
  2. Step 2: Convert to fraction form
    417.92/626.48 = 201.28/x
  3. Step 3: Cross multiply
    417.92x = 626.48 × 201.28
  4. Step 4: Simplify right side
    417.92x = 126,097.89
  5. Step 5: Solve for x
    x = 126,097.89/417.92
  6. Step 6: Final answer
    x = 301.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.