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Finding the Fourth Proportional to 644.80, 889.92 and 412.48

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Solution

The fourth proportional to 644.80, 889.92 and 412.48 is: 569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.80 : 889.92 = 412.48 : x
  2. Step 2: Convert to fraction form
    644.80/889.92 = 412.48/x
  3. Step 3: Cross multiply
    644.80x = 889.92 × 412.48
  4. Step 4: Simplify right side
    644.80x = 367,074.20
  5. Step 5: Solve for x
    x = 367,074.20/644.80
  6. Step 6: Final answer
    x = 569.28

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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.