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Finding the Fourth Proportional to 644.72, 889.24 and 448.28

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Solution

The fourth proportional to 644.72, 889.24 and 448.28 is: 618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.72 : 889.24 = 448.28 : x
  2. Step 2: Convert to fraction form
    644.72/889.24 = 448.28/x
  3. Step 3: Cross multiply
    644.72x = 889.24 × 448.28
  4. Step 4: Simplify right side
    644.72x = 398,628.51
  5. Step 5: Solve for x
    x = 398,628.51/644.72
  6. Step 6: Final answer
    x = 618.30

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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.