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Finding the Fourth Proportional to 669.36, 1,004.04 and 258.69

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Solution

The fourth proportional to 669.36, 1,004.04 and 258.69 is: 388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.36 : 1,004.04 = 258.69 : x
  2. Step 2: Convert to fraction form
    669.36/1,004.04 = 258.69/x
  3. Step 3: Cross multiply
    669.36x = 1,004.04 × 258.69
  4. Step 4: Simplify right side
    669.36x = 259,735.11
  5. Step 5: Solve for x
    x = 259,735.11/669.36
  6. Step 6: Final answer
    x = 388.04

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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.