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Finding the Fourth Proportional to 644.41, 889.55 and 411.49

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Solution

The fourth proportional to 644.41, 889.55 and 411.49 is: 568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.41 : 889.55 = 411.49 : x
  2. Step 2: Convert to fraction form
    644.41/889.55 = 411.49/x
  3. Step 3: Cross multiply
    644.41x = 889.55 × 411.49
  4. Step 4: Simplify right side
    644.41x = 366,040.93
  5. Step 5: Solve for x
    x = 366,040.93/644.41
  6. Step 6: Final answer
    x = 568.02

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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.