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Finding the Fourth Proportional to 667.22, 921.23 and 405.69

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Solution

The fourth proportional to 667.22, 921.23 and 405.69 is: 560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.22 : 921.23 = 405.69 : x
  2. Step 2: Convert to fraction form
    667.22/921.23 = 405.69/x
  3. Step 3: Cross multiply
    667.22x = 921.23 × 405.69
  4. Step 4: Simplify right side
    667.22x = 373,731.77
  5. Step 5: Solve for x
    x = 373,731.77/667.22
  6. Step 6: Final answer
    x = 560.14

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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.