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Finding the Fourth Proportional to 306.69, 459.78 and 229.37

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Solution

The fourth proportional to 306.69, 459.78 and 229.37 is: 343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.69 : 459.78 = 229.37 : x
  2. Step 2: Convert to fraction form
    306.69/459.78 = 229.37/x
  3. Step 3: Cross multiply
    306.69x = 459.78 × 229.37
  4. Step 4: Simplify right side
    306.69x = 105,456.58
  5. Step 5: Solve for x
    x = 105,456.58/306.69
  6. Step 6: Final answer
    x = 343.86

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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.