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Finding the Fourth Proportional to 890.85, 1,336.49 and 343.05

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Solution

The fourth proportional to 890.85, 1,336.49 and 343.05 is: 514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.85 : 1,336.49 = 343.05 : x
  2. Step 2: Convert to fraction form
    890.85/1,336.49 = 343.05/x
  3. Step 3: Cross multiply
    890.85x = 1,336.49 × 343.05
  4. Step 4: Simplify right side
    890.85x = 458,481.18
  5. Step 5: Solve for x
    x = 458,481.18/890.85
  6. Step 6: Final answer
    x = 514.66

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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.