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Finding the Fourth Proportional to 325.67, 487.89 and 204.17

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Solution

The fourth proportional to 325.67, 487.89 and 204.17 is: 305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.67 : 487.89 = 204.17 : x
  2. Step 2: Convert to fraction form
    325.67/487.89 = 204.17/x
  3. Step 3: Cross multiply
    325.67x = 487.89 × 204.17
  4. Step 4: Simplify right side
    325.67x = 99,610.06
  5. Step 5: Solve for x
    x = 99,610.06/325.67
  6. Step 6: Final answer
    x = 305.87

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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.