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Finding the Fourth Proportional to 667.64, 919.73 and 468.09

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Solution

The fourth proportional to 667.64, 919.73 and 468.09 is: 644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.64 : 919.73 = 468.09 : x
  2. Step 2: Convert to fraction form
    667.64/919.73 = 468.09/x
  3. Step 3: Cross multiply
    667.64x = 919.73 × 468.09
  4. Step 4: Simplify right side
    667.64x = 430,517.59
  5. Step 5: Solve for x
    x = 430,517.59/667.64
  6. Step 6: Final answer
    x = 644.83

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