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Finding the Fourth Proportional to 668.97, 1,003.62 and 258.14

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Solution

The fourth proportional to 668.97, 1,003.62 and 258.14 is: 387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.97 : 1,003.62 = 258.14 : x
  2. Step 2: Convert to fraction form
    668.97/1,003.62 = 258.14/x
  3. Step 3: Cross multiply
    668.97x = 1,003.62 × 258.14
  4. Step 4: Simplify right side
    668.97x = 259,074.47
  5. Step 5: Solve for x
    x = 259,074.47/668.97
  6. Step 6: Final answer
    x = 387.27

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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.