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Finding the Fourth Proportional to 667.44, 1,001.11 and 205.18

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Solution

The fourth proportional to 667.44, 1,001.11 and 205.18 is: 307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.44 : 1,001.11 = 205.18 : x
  2. Step 2: Convert to fraction form
    667.44/1,001.11 = 205.18/x
  3. Step 3: Cross multiply
    667.44x = 1,001.11 × 205.18
  4. Step 4: Simplify right side
    667.44x = 205,410.75
  5. Step 5: Solve for x
    x = 205,410.75/667.44
  6. Step 6: Final answer
    x = 307.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.