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Finding the Fourth Proportional to 394.10, 589.41 and 351.08

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Solution

The fourth proportional to 394.10, 589.41 and 351.08 is: 525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.10 : 589.41 = 351.08 : x
  2. Step 2: Convert to fraction form
    394.10/589.41 = 351.08/x
  3. Step 3: Cross multiply
    394.10x = 589.41 × 351.08
  4. Step 4: Simplify right side
    394.10x = 206,930.06
  5. Step 5: Solve for x
    x = 206,930.06/394.10
  6. Step 6: Final answer
    x = 525.07

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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.