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Finding the Fourth Proportional to 326.90, 487.46 and 281.54

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Solution

The fourth proportional to 326.90, 487.46 and 281.54 is: 419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.90 : 487.46 = 281.54 : x
  2. Step 2: Convert to fraction form
    326.90/487.46 = 281.54/x
  3. Step 3: Cross multiply
    326.90x = 487.46 × 281.54
  4. Step 4: Simplify right side
    326.90x = 137,236.70
  5. Step 5: Solve for x
    x = 137,236.70/326.90
  6. Step 6: Final answer
    x = 419.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.