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Finding the Fourth Proportional to 466.54, 644.32 and 319.56

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Solution

The fourth proportional to 466.54, 644.32 and 319.56 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.54 : 644.32 = 319.56 : x
  2. Step 2: Convert to fraction form
    466.54/644.32 = 319.56/x
  3. Step 3: Cross multiply
    466.54x = 644.32 × 319.56
  4. Step 4: Simplify right side
    466.54x = 205,898.90
  5. Step 5: Solve for x
    x = 205,898.90/466.54
  6. Step 6: Final answer
    x = 441.33

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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.