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Finding the Fourth Proportional to 481.69, 664.73 and 260.64

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Solution

The fourth proportional to 481.69, 664.73 and 260.64 is: 359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.69 : 664.73 = 260.64 : x
  2. Step 2: Convert to fraction form
    481.69/664.73 = 260.64/x
  3. Step 3: Cross multiply
    481.69x = 664.73 × 260.64
  4. Step 4: Simplify right side
    481.69x = 173,253.60
  5. Step 5: Solve for x
    x = 173,253.60/481.69
  6. Step 6: Final answer
    x = 359.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.