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Finding the Fourth Proportional to 447.39, 671.00 and 311.67

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Solution

The fourth proportional to 447.39, 671.00 and 311.67 is: 467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.39 : 671.00 = 311.67 : x
  2. Step 2: Convert to fraction form
    447.39/671.00 = 311.67/x
  3. Step 3: Cross multiply
    447.39x = 671.00 × 311.67
  4. Step 4: Simplify right side
    447.39x = 209,129.01
  5. Step 5: Solve for x
    x = 209,129.01/447.39
  6. Step 6: Final answer
    x = 467.44

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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.