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Finding the Fourth Proportional to 644.12, 889.18 and 423.08

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Solution

The fourth proportional to 644.12, 889.18 and 423.08 is: 584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.12 : 889.18 = 423.08 : x
  2. Step 2: Convert to fraction form
    644.12/889.18 = 423.08/x
  3. Step 3: Cross multiply
    644.12x = 889.18 × 423.08
  4. Step 4: Simplify right side
    644.12x = 376,194.27
  5. Step 5: Solve for x
    x = 376,194.27/644.12
  6. Step 6: Final answer
    x = 584.04

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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.