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Finding the Fourth Proportional to 878.08, 1,317.12 and 228.81

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Solution

The fourth proportional to 878.08, 1,317.12 and 228.81 is: 343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.08 : 1,317.12 = 228.81 : x
  2. Step 2: Convert to fraction form
    878.08/1,317.12 = 228.81/x
  3. Step 3: Cross multiply
    878.08x = 1,317.12 × 228.81
  4. Step 4: Simplify right side
    878.08x = 301,370.23
  5. Step 5: Solve for x
    x = 301,370.23/878.08
  6. Step 6: Final answer
    x = 343.22

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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.