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Finding the Fourth Proportional to 684.90, 1,026.96 and 222.60

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Solution

The fourth proportional to 684.90, 1,026.96 and 222.60 is: 333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.90 : 1,026.96 = 222.60 : x
  2. Step 2: Convert to fraction form
    684.90/1,026.96 = 222.60/x
  3. Step 3: Cross multiply
    684.90x = 1,026.96 × 222.60
  4. Step 4: Simplify right side
    684.90x = 228,601.30
  5. Step 5: Solve for x
    x = 228,601.30/684.90
  6. Step 6: Final answer
    x = 333.77

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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.