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Finding the Fourth Proportional to 878.86, 1,318.44 and 293.98

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Solution

The fourth proportional to 878.86, 1,318.44 and 293.98 is: 441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.86 : 1,318.44 = 293.98 : x
  2. Step 2: Convert to fraction form
    878.86/1,318.44 = 293.98/x
  3. Step 3: Cross multiply
    878.86x = 1,318.44 × 293.98
  4. Step 4: Simplify right side
    878.86x = 387,594.99
  5. Step 5: Solve for x
    x = 387,594.99/878.86
  6. Step 6: Final answer
    x = 441.02

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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.