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Finding the Fourth Proportional to 546.75, 752.09 and 481.14

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Solution

The fourth proportional to 546.75, 752.09 and 481.14 is: 661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 752.09 = 481.14 : x
  2. Step 2: Convert to fraction form
    546.75/752.09 = 481.14/x
  3. Step 3: Cross multiply
    546.75x = 752.09 × 481.14
  4. Step 4: Simplify right side
    546.75x = 361,858.18
  5. Step 5: Solve for x
    x = 361,858.18/546.75
  6. Step 6: Final answer
    x = 661.83

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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.