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Finding the Fourth Proportional to 542.16, 749.25 and 481.41

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Solution

The fourth proportional to 542.16, 749.25 and 481.41 is: 665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 749.25 = 481.41 : x
  2. Step 2: Convert to fraction form
    542.16/749.25 = 481.41/x
  3. Step 3: Cross multiply
    542.16x = 749.25 × 481.41
  4. Step 4: Simplify right side
    542.16x = 360,696.44
  5. Step 5: Solve for x
    x = 360,696.44/542.16
  6. Step 6: Final answer
    x = 665.30

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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.