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Finding the Fourth Proportional to 644.56, 889.26 and 423.63

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Solution

The fourth proportional to 644.56, 889.26 and 423.63 is: 584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.56 : 889.26 = 423.63 : x
  2. Step 2: Convert to fraction form
    644.56/889.26 = 423.63/x
  3. Step 3: Cross multiply
    644.56x = 889.26 × 423.63
  4. Step 4: Simplify right side
    644.56x = 376,717.21
  5. Step 5: Solve for x
    x = 376,717.21/644.56
  6. Step 6: Final answer
    x = 584.46

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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.