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Finding the Fourth Proportional to 878.68, 1,318.17 and 330.94

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Solution

The fourth proportional to 878.68, 1,318.17 and 330.94 is: 496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.68 : 1,318.17 = 330.94 : x
  2. Step 2: Convert to fraction form
    878.68/1,318.17 = 330.94/x
  3. Step 3: Cross multiply
    878.68x = 1,318.17 × 330.94
  4. Step 4: Simplify right side
    878.68x = 436,235.18
  5. Step 5: Solve for x
    x = 436,235.18/878.68
  6. Step 6: Final answer
    x = 496.47

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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.