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Finding the Fourth Proportional to 325.81, 488.21 and 203.71

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Solution

The fourth proportional to 325.81, 488.21 and 203.71 is: 305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.81 : 488.21 = 203.71 : x
  2. Step 2: Convert to fraction form
    325.81/488.21 = 203.71/x
  3. Step 3: Cross multiply
    325.81x = 488.21 × 203.71
  4. Step 4: Simplify right side
    325.81x = 99,450.82
  5. Step 5: Solve for x
    x = 99,450.82/325.81
  6. Step 6: Final answer
    x = 305.24

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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.