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Finding the Fourth Proportional to 665.34, 997.77 and 280.62

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Solution

The fourth proportional to 665.34, 997.77 and 280.62 is: 420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.34 : 997.77 = 280.62 : x
  2. Step 2: Convert to fraction form
    665.34/997.77 = 280.62/x
  3. Step 3: Cross multiply
    665.34x = 997.77 × 280.62
  4. Step 4: Simplify right side
    665.34x = 279,994.22
  5. Step 5: Solve for x
    x = 279,994.22/665.34
  6. Step 6: Final answer
    x = 420.83

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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.