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Finding the Fourth Proportional to 447.33, 670.68 and 227.89

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Solution

The fourth proportional to 447.33, 670.68 and 227.89 is: 341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.33 : 670.68 = 227.89 : x
  2. Step 2: Convert to fraction form
    447.33/670.68 = 227.89/x
  3. Step 3: Cross multiply
    447.33x = 670.68 × 227.89
  4. Step 4: Simplify right side
    447.33x = 152,841.27
  5. Step 5: Solve for x
    x = 152,841.27/447.33
  6. Step 6: Final answer
    x = 341.67

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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.