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Finding the Fourth Proportional to 806.41, 1,210.15 and 344.29

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Solution

The fourth proportional to 806.41, 1,210.15 and 344.29 is: 516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.41 : 1,210.15 = 344.29 : x
  2. Step 2: Convert to fraction form
    806.41/1,210.15 = 344.29/x
  3. Step 3: Cross multiply
    806.41x = 1,210.15 × 344.29
  4. Step 4: Simplify right side
    806.41x = 416,644.65
  5. Step 5: Solve for x
    x = 416,644.65/806.41
  6. Step 6: Final answer
    x = 516.67

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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.