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Finding the Fourth Proportional to 443.54, 664.28 and 428.16

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Solution

The fourth proportional to 443.54, 664.28 and 428.16 is: 641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.54 : 664.28 = 428.16 : x
  2. Step 2: Convert to fraction form
    443.54/664.28 = 428.16/x
  3. Step 3: Cross multiply
    443.54x = 664.28 × 428.16
  4. Step 4: Simplify right side
    443.54x = 284,418.12
  5. Step 5: Solve for x
    x = 284,418.12/443.54
  6. Step 6: Final answer
    x = 641.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.