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Finding the Fourth Proportional to 310.26, 428.04 and 221.75

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Solution

The fourth proportional to 310.26, 428.04 and 221.75 is: 305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.26 : 428.04 = 221.75 : x
  2. Step 2: Convert to fraction form
    310.26/428.04 = 221.75/x
  3. Step 3: Cross multiply
    310.26x = 428.04 × 221.75
  4. Step 4: Simplify right side
    310.26x = 94,915.73
  5. Step 5: Solve for x
    x = 94,915.73/310.26
  6. Step 6: Final answer
    x = 305.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.