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Finding the Fourth Proportional to 263.70, 394.74 and 224.91

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Solution

The fourth proportional to 263.70, 394.74 and 224.91 is: 336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.70 : 394.74 = 224.91 : x
  2. Step 2: Convert to fraction form
    263.70/394.74 = 224.91/x
  3. Step 3: Cross multiply
    263.70x = 394.74 × 224.91
  4. Step 4: Simplify right side
    263.70x = 88,780.97
  5. Step 5: Solve for x
    x = 88,780.97/263.70
  6. Step 6: Final answer
    x = 336.67

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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.