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Finding the Fourth Proportional to 644.70, 889.47 and 411.96

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Solution

The fourth proportional to 644.70, 889.47 and 411.96 is: 568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.70 : 889.47 = 411.96 : x
  2. Step 2: Convert to fraction form
    644.70/889.47 = 411.96/x
  3. Step 3: Cross multiply
    644.70x = 889.47 × 411.96
  4. Step 4: Simplify right side
    644.70x = 366,426.06
  5. Step 5: Solve for x
    x = 366,426.06/644.70
  6. Step 6: Final answer
    x = 568.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.