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Finding the Fourth Proportional to 362.09, 541.67 and 306.90

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Solution

The fourth proportional to 362.09, 541.67 and 306.90 is: 459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.09 : 541.67 = 306.90 : x
  2. Step 2: Convert to fraction form
    362.09/541.67 = 306.90/x
  3. Step 3: Cross multiply
    362.09x = 541.67 × 306.90
  4. Step 4: Simplify right side
    362.09x = 166,236.99
  5. Step 5: Solve for x
    x = 166,236.99/362.09
  6. Step 6: Final answer
    x = 459.11

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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.