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Finding the Fourth Proportional to 667.63, 921.41 and 405.73

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Solution

The fourth proportional to 667.63, 921.41 and 405.73 is: 559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.63 : 921.41 = 405.73 : x
  2. Step 2: Convert to fraction form
    667.63/921.41 = 405.73/x
  3. Step 3: Cross multiply
    667.63x = 921.41 × 405.73
  4. Step 4: Simplify right side
    667.63x = 373,843.68
  5. Step 5: Solve for x
    x = 373,843.68/667.63
  6. Step 6: Final answer
    x = 559.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.