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Finding the Fourth Proportional to 950.09, 1,424.87 and 325.37

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Solution

The fourth proportional to 950.09, 1,424.87 and 325.37 is: 487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.09 : 1,424.87 = 325.37 : x
  2. Step 2: Convert to fraction form
    950.09/1,424.87 = 325.37/x
  3. Step 3: Cross multiply
    950.09x = 1,424.87 × 325.37
  4. Step 4: Simplify right side
    950.09x = 463,611.89
  5. Step 5: Solve for x
    x = 463,611.89/950.09
  6. Step 6: Final answer
    x = 487.97

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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.