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Finding the Fourth Proportional to 403.20, 604.84 and 281.52

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Solution

The fourth proportional to 403.20, 604.84 and 281.52 is: 422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.20 : 604.84 = 281.52 : x
  2. Step 2: Convert to fraction form
    403.20/604.84 = 281.52/x
  3. Step 3: Cross multiply
    403.20x = 604.84 × 281.52
  4. Step 4: Simplify right side
    403.20x = 170,274.56
  5. Step 5: Solve for x
    x = 170,274.56/403.20
  6. Step 6: Final answer
    x = 422.31

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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.