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Finding the Fourth Proportional to 443.64, 664.74 and 280.80

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Solution

The fourth proportional to 443.64, 664.74 and 280.80 is: 420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.64 : 664.74 = 280.80 : x
  2. Step 2: Convert to fraction form
    443.64/664.74 = 280.80/x
  3. Step 3: Cross multiply
    443.64x = 664.74 × 280.80
  4. Step 4: Simplify right side
    443.64x = 186,658.99
  5. Step 5: Solve for x
    x = 186,658.99/443.64
  6. Step 6: Final answer
    x = 420.74

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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.