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Finding the Fourth Proportional to 464.44, 641.07 and 268.03

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Solution

The fourth proportional to 464.44, 641.07 and 268.03 is: 369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.44 : 641.07 = 268.03 : x
  2. Step 2: Convert to fraction form
    464.44/641.07 = 268.03/x
  3. Step 3: Cross multiply
    464.44x = 641.07 × 268.03
  4. Step 4: Simplify right side
    464.44x = 171,825.99
  5. Step 5: Solve for x
    x = 171,825.99/464.44
  6. Step 6: Final answer
    x = 369.96

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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.