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Finding the Fourth Proportional to 813.22, 1,219.90 and 228.23

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Solution

The fourth proportional to 813.22, 1,219.90 and 228.23 is: 342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.22 : 1,219.90 = 228.23 : x
  2. Step 2: Convert to fraction form
    813.22/1,219.90 = 228.23/x
  3. Step 3: Cross multiply
    813.22x = 1,219.90 × 228.23
  4. Step 4: Simplify right side
    813.22x = 278,413.32
  5. Step 5: Solve for x
    x = 278,413.32/813.22
  6. Step 6: Final answer
    x = 342.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.