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Finding the Fourth Proportional to 669.26, 1,004.30 and 258.39

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Solution

The fourth proportional to 669.26, 1,004.30 and 258.39 is: 387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.26 : 1,004.30 = 258.39 : x
  2. Step 2: Convert to fraction form
    669.26/1,004.30 = 258.39/x
  3. Step 3: Cross multiply
    669.26x = 1,004.30 × 258.39
  4. Step 4: Simplify right side
    669.26x = 259,500.75
  5. Step 5: Solve for x
    x = 259,500.75/669.26
  6. Step 6: Final answer
    x = 387.74

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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.