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Finding the Fourth Proportional to 481.16, 664.20 and 431.96

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Solution

The fourth proportional to 481.16, 664.20 and 431.96 is: 596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.16 : 664.20 = 431.96 : x
  2. Step 2: Convert to fraction form
    481.16/664.20 = 431.96/x
  3. Step 3: Cross multiply
    481.16x = 664.20 × 431.96
  4. Step 4: Simplify right side
    481.16x = 286,907.83
  5. Step 5: Solve for x
    x = 286,907.83/481.16
  6. Step 6: Final answer
    x = 596.28

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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.