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Finding the Fourth Proportional to 667.91, 999.46 and 407.97

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Solution

The fourth proportional to 667.91, 999.46 and 407.97 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.91 : 999.46 = 407.97 : x
  2. Step 2: Convert to fraction form
    667.91/999.46 = 407.97/x
  3. Step 3: Cross multiply
    667.91x = 999.46 × 407.97
  4. Step 4: Simplify right side
    667.91x = 407,747.91
  5. Step 5: Solve for x
    x = 407,747.91/667.91
  6. Step 6: Final answer
    x = 610.48

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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.