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Finding the Fourth Proportional to 644.94, 889.89 and 409.02

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Solution

The fourth proportional to 644.94, 889.89 and 409.02 is: 564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.94 : 889.89 = 409.02 : x
  2. Step 2: Convert to fraction form
    644.94/889.89 = 409.02/x
  3. Step 3: Cross multiply
    644.94x = 889.89 × 409.02
  4. Step 4: Simplify right side
    644.94x = 363,982.81
  5. Step 5: Solve for x
    x = 363,982.81/644.94
  6. Step 6: Final answer
    x = 564.37

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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.