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Finding the Fourth Proportional to 667.26, 921.06 and 405.27

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Solution

The fourth proportional to 667.26, 921.06 and 405.27 is: 559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.26 : 921.06 = 405.27 : x
  2. Step 2: Convert to fraction form
    667.26/921.06 = 405.27/x
  3. Step 3: Cross multiply
    667.26x = 921.06 × 405.27
  4. Step 4: Simplify right side
    667.26x = 373,277.99
  5. Step 5: Solve for x
    x = 373,277.99/667.26
  6. Step 6: Final answer
    x = 559.42

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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.