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Finding the Fourth Proportional to 548.72, 755.96 and 380.51

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Solution

The fourth proportional to 548.72, 755.96 and 380.51 is: 524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 755.96 = 380.51 : x
  2. Step 2: Convert to fraction form
    548.72/755.96 = 380.51/x
  3. Step 3: Cross multiply
    548.72x = 755.96 × 380.51
  4. Step 4: Simplify right side
    548.72x = 287,644.66
  5. Step 5: Solve for x
    x = 287,644.66/548.72
  6. Step 6: Final answer
    x = 524.22

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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.