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Finding the Fourth Proportional to 548.75, 757.04 and 380.67

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Solution

The fourth proportional to 548.75, 757.04 and 380.67 is: 525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.75 : 757.04 = 380.67 : x
  2. Step 2: Convert to fraction form
    548.75/757.04 = 380.67/x
  3. Step 3: Cross multiply
    548.75x = 757.04 × 380.67
  4. Step 4: Simplify right side
    548.75x = 288,180.51
  5. Step 5: Solve for x
    x = 288,180.51/548.75
  6. Step 6: Final answer
    x = 525.16

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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.