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Finding the Fourth Proportional to 326.40, 488.79 and 204.30

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Solution

The fourth proportional to 326.40, 488.79 and 204.30 is: 305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.40 : 488.79 = 204.30 : x
  2. Step 2: Convert to fraction form
    326.40/488.79 = 204.30/x
  3. Step 3: Cross multiply
    326.40x = 488.79 × 204.30
  4. Step 4: Simplify right side
    326.40x = 99,859.80
  5. Step 5: Solve for x
    x = 99,859.80/326.40
  6. Step 6: Final answer
    x = 305.94

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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.