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Finding the Fourth Proportional to 665.78, 998.64 and 281

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Solution

The fourth proportional to 665.78, 998.64 and 281 is: 421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.78 : 998.64 = 281 : x
  2. Step 2: Convert to fraction form
    665.78/998.64 = 281/x
  3. Step 3: Cross multiply
    665.78x = 998.64 × 281
  4. Step 4: Simplify right side
    665.78x = 280,617.84
  5. Step 5: Solve for x
    x = 280,617.84/665.78
  6. Step 6: Final answer
    x = 421.49

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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.