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Finding the Fourth Proportional to 644.33, 889.03 and 411.53

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Solution

The fourth proportional to 644.33, 889.03 and 411.53 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.33 : 889.03 = 411.53 : x
  2. Step 2: Convert to fraction form
    644.33/889.03 = 411.53/x
  3. Step 3: Cross multiply
    644.33x = 889.03 × 411.53
  4. Step 4: Simplify right side
    644.33x = 365,860.46
  5. Step 5: Solve for x
    x = 365,860.46/644.33
  6. Step 6: Final answer
    x = 567.82

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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.