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Finding the Fourth Proportional to 467.21, 644.27 and 319.61

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Solution

The fourth proportional to 467.21, 644.27 and 319.61 is: 440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.21 : 644.27 = 319.61 : x
  2. Step 2: Convert to fraction form
    467.21/644.27 = 319.61/x
  3. Step 3: Cross multiply
    467.21x = 644.27 × 319.61
  4. Step 4: Simplify right side
    467.21x = 205,910.32
  5. Step 5: Solve for x
    x = 205,910.32/467.21
  6. Step 6: Final answer
    x = 440.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.