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Finding the Fourth Proportional to 666.31, 999.87 and 281.56

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Solution

The fourth proportional to 666.31, 999.87 and 281.56 is: 422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.31 : 999.87 = 281.56 : x
  2. Step 2: Convert to fraction form
    666.31/999.87 = 281.56/x
  3. Step 3: Cross multiply
    666.31x = 999.87 × 281.56
  4. Step 4: Simplify right side
    666.31x = 281,523.40
  5. Step 5: Solve for x
    x = 281,523.40/666.31
  6. Step 6: Final answer
    x = 422.51

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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.