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Finding the Fourth Proportional to 667, 921.02 and 418.74

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Solution

The fourth proportional to 667, 921.02 and 418.74 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    667 : 921.02 = 418.74 : x
  2. Step 2: Convert to fraction form
    667/921.02 = 418.74/x
  3. Step 3: Cross multiply
    667x = 921.02 × 418.74
  4. Step 4: Simplify right side
    667x = 385,667.91
  5. Step 5: Solve for x
    x = 385,667.91/667
  6. Step 6: Final answer
    x = 578.21

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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.