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Finding the Fourth Proportional to 466.96, 644.09 and 289.73

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Solution

The fourth proportional to 466.96, 644.09 and 289.73 is: 399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.96 : 644.09 = 289.73 : x
  2. Step 2: Convert to fraction form
    466.96/644.09 = 289.73/x
  3. Step 3: Cross multiply
    466.96x = 644.09 × 289.73
  4. Step 4: Simplify right side
    466.96x = 186,612.36
  5. Step 5: Solve for x
    x = 186,612.36/466.96
  6. Step 6: Final answer
    x = 399.63

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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.