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Finding the Fourth Proportional to 394.08, 589.71 and 343.26

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Solution

The fourth proportional to 394.08, 589.71 and 343.26 is: 513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.08 : 589.71 = 343.26 : x
  2. Step 2: Convert to fraction form
    394.08/589.71 = 343.26/x
  3. Step 3: Cross multiply
    394.08x = 589.71 × 343.26
  4. Step 4: Simplify right side
    394.08x = 202,423.85
  5. Step 5: Solve for x
    x = 202,423.85/394.08
  6. Step 6: Final answer
    x = 513.66

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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.