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Finding the Fourth Proportional to 306.78, 459.71 and 255.29

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Solution

The fourth proportional to 306.78, 459.71 and 255.29 is: 382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 459.71 = 255.29 : x
  2. Step 2: Convert to fraction form
    306.78/459.71 = 255.29/x
  3. Step 3: Cross multiply
    306.78x = 459.71 × 255.29
  4. Step 4: Simplify right side
    306.78x = 117,359.37
  5. Step 5: Solve for x
    x = 117,359.37/306.78
  6. Step 6: Final answer
    x = 382.55

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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.