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Finding the Fourth Proportional to 306.97, 459.83 and 255.45

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Solution

The fourth proportional to 306.97, 459.83 and 255.45 is: 382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.97 : 459.83 = 255.45 : x
  2. Step 2: Convert to fraction form
    306.97/459.83 = 255.45/x
  3. Step 3: Cross multiply
    306.97x = 459.83 × 255.45
  4. Step 4: Simplify right side
    306.97x = 117,464.21
  5. Step 5: Solve for x
    x = 117,464.21/306.97
  6. Step 6: Final answer
    x = 382.66

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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.