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Finding the Fourth Proportional to 414.26, 621.53 and 231.80

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Solution

The fourth proportional to 414.26, 621.53 and 231.80 is: 347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.26 : 621.53 = 231.80 : x
  2. Step 2: Convert to fraction form
    414.26/621.53 = 231.80/x
  3. Step 3: Cross multiply
    414.26x = 621.53 × 231.80
  4. Step 4: Simplify right side
    414.26x = 144,069.50
  5. Step 5: Solve for x
    x = 144,069.50/414.26
  6. Step 6: Final answer
    x = 347.78

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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.