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Finding the Fourth Proportional to 605.06, 834.99 and 343.10

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Solution

The fourth proportional to 605.06, 834.99 and 343.10 is: 473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.06 : 834.99 = 343.10 : x
  2. Step 2: Convert to fraction form
    605.06/834.99 = 343.10/x
  3. Step 3: Cross multiply
    605.06x = 834.99 × 343.10
  4. Step 4: Simplify right side
    605.06x = 286,480.89
  5. Step 5: Solve for x
    x = 286,480.89/605.06
  6. Step 6: Final answer
    x = 473.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.