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Finding the Fourth Proportional to 667.87, 921.41 and 419.09

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Solution

The fourth proportional to 667.87, 921.41 and 419.09 is: 578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.87 : 921.41 = 419.09 : x
  2. Step 2: Convert to fraction form
    667.87/921.41 = 419.09/x
  3. Step 3: Cross multiply
    667.87x = 921.41 × 419.09
  4. Step 4: Simplify right side
    667.87x = 386,156.12
  5. Step 5: Solve for x
    x = 386,156.12/667.87
  6. Step 6: Final answer
    x = 578.19

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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.