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Finding the Fourth Proportional to 548.96, 757.64 and 327.90

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Solution

The fourth proportional to 548.96, 757.64 and 327.90 is: 452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.96 : 757.64 = 327.90 : x
  2. Step 2: Convert to fraction form
    548.96/757.64 = 327.90/x
  3. Step 3: Cross multiply
    548.96x = 757.64 × 327.90
  4. Step 4: Simplify right side
    548.96x = 248,430.98
  5. Step 5: Solve for x
    x = 248,430.98/548.96
  6. Step 6: Final answer
    x = 452.55

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Why These Related Problems?

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