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Finding the Fourth Proportional to 443.62, 664.35 and 280.81

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Solution

The fourth proportional to 443.62, 664.35 and 280.81 is: 420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.62 : 664.35 = 280.81 : x
  2. Step 2: Convert to fraction form
    443.62/664.35 = 280.81/x
  3. Step 3: Cross multiply
    443.62x = 664.35 × 280.81
  4. Step 4: Simplify right side
    443.62x = 186,556.12
  5. Step 5: Solve for x
    x = 186,556.12/443.62
  6. Step 6: Final answer
    x = 420.53

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Why These Related Problems?

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