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Finding the Fourth Proportional to 644.31, 889.31 and 411.84

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Solution

The fourth proportional to 644.31, 889.31 and 411.84 is: 568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.31 : 889.31 = 411.84 : x
  2. Step 2: Convert to fraction form
    644.31/889.31 = 411.84/x
  3. Step 3: Cross multiply
    644.31x = 889.31 × 411.84
  4. Step 4: Simplify right side
    644.31x = 366,253.43
  5. Step 5: Solve for x
    x = 366,253.43/644.31
  6. Step 6: Final answer
    x = 568.44

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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.