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Finding the Fourth Proportional to 307.80, 461.82 and 273.82

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Solution

The fourth proportional to 307.80, 461.82 and 273.82 is: 410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.80 : 461.82 = 273.82 : x
  2. Step 2: Convert to fraction form
    307.80/461.82 = 273.82/x
  3. Step 3: Cross multiply
    307.80x = 461.82 × 273.82
  4. Step 4: Simplify right side
    307.80x = 126,455.55
  5. Step 5: Solve for x
    x = 126,455.55/307.80
  6. Step 6: Final answer
    x = 410.84

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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.