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Finding the Fourth Proportional to 307.31, 461.30 and 220.28

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Solution

The fourth proportional to 307.31, 461.30 and 220.28 is: 330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.31 : 461.30 = 220.28 : x
  2. Step 2: Convert to fraction form
    307.31/461.30 = 220.28/x
  3. Step 3: Cross multiply
    307.31x = 461.30 × 220.28
  4. Step 4: Simplify right side
    307.31x = 101,611.76
  5. Step 5: Solve for x
    x = 101,611.76/307.31
  6. Step 6: Final answer
    x = 330.65

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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.