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Finding the Fourth Proportional to 668.44, 1,001.97 and 257.47

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Solution

The fourth proportional to 668.44, 1,001.97 and 257.47 is: 385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.44 : 1,001.97 = 257.47 : x
  2. Step 2: Convert to fraction form
    668.44/1,001.97 = 257.47/x
  3. Step 3: Cross multiply
    668.44x = 1,001.97 × 257.47
  4. Step 4: Simplify right side
    668.44x = 257,977.22
  5. Step 5: Solve for x
    x = 257,977.22/668.44
  6. Step 6: Final answer
    x = 385.94

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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.