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Finding the Fourth Proportional to 667.62, 921.18 and 418.86

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Solution

The fourth proportional to 667.62, 921.18 and 418.86 is: 577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.62 : 921.18 = 418.86 : x
  2. Step 2: Convert to fraction form
    667.62/921.18 = 418.86/x
  3. Step 3: Cross multiply
    667.62x = 921.18 × 418.86
  4. Step 4: Simplify right side
    667.62x = 385,845.45
  5. Step 5: Solve for x
    x = 385,845.45/667.62
  6. Step 6: Final answer
    x = 577.94

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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.