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Finding the Fourth Proportional to 442.69, 664.03 and 280.49

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Solution

The fourth proportional to 442.69, 664.03 and 280.49 is: 420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.69 : 664.03 = 280.49 : x
  2. Step 2: Convert to fraction form
    442.69/664.03 = 280.49/x
  3. Step 3: Cross multiply
    442.69x = 664.03 × 280.49
  4. Step 4: Simplify right side
    442.69x = 186,253.77
  5. Step 5: Solve for x
    x = 186,253.77/442.69
  6. Step 6: Final answer
    x = 420.73

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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.