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Finding the Fourth Proportional to 307.50, 460.44 and 255.66

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Solution

The fourth proportional to 307.50, 460.44 and 255.66 is: 382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.50 : 460.44 = 255.66 : x
  2. Step 2: Convert to fraction form
    307.50/460.44 = 255.66/x
  3. Step 3: Cross multiply
    307.50x = 460.44 × 255.66
  4. Step 4: Simplify right side
    307.50x = 117,716.09
  5. Step 5: Solve for x
    x = 117,716.09/307.50
  6. Step 6: Final answer
    x = 382.82

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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.