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Finding the Fourth Proportional to 467.33, 644.24 and 319.73

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Solution

The fourth proportional to 467.33, 644.24 and 319.73 is: 440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.33 : 644.24 = 319.73 : x
  2. Step 2: Convert to fraction form
    467.33/644.24 = 319.73/x
  3. Step 3: Cross multiply
    467.33x = 644.24 × 319.73
  4. Step 4: Simplify right side
    467.33x = 205,980.43
  5. Step 5: Solve for x
    x = 205,980.43/467.33
  6. Step 6: Final answer
    x = 440.76

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Why These Related Problems?

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