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Finding the Fourth Proportional to 644.30, 889.14 and 382.34

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Solution

The fourth proportional to 644.30, 889.14 and 382.34 is: 527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.30 : 889.14 = 382.34 : x
  2. Step 2: Convert to fraction form
    644.30/889.14 = 382.34/x
  3. Step 3: Cross multiply
    644.30x = 889.14 × 382.34
  4. Step 4: Simplify right side
    644.30x = 339,953.79
  5. Step 5: Solve for x
    x = 339,953.79/644.30
  6. Step 6: Final answer
    x = 527.63

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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.