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Finding the Fourth Proportional to 454.26, 680.20 and 389.67

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Solution

The fourth proportional to 454.26, 680.20 and 389.67 is: 583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.26 : 680.20 = 389.67 : x
  2. Step 2: Convert to fraction form
    454.26/680.20 = 389.67/x
  3. Step 3: Cross multiply
    454.26x = 680.20 × 389.67
  4. Step 4: Simplify right side
    454.26x = 265,052.56
  5. Step 5: Solve for x
    x = 265,052.56/454.26
  6. Step 6: Final answer
    x = 583.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.