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Finding the Fourth Proportional to 310.44, 428.04 and 199.92

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Solution

The fourth proportional to 310.44, 428.04 and 199.92 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.44 : 428.04 = 199.92 : x
  2. Step 2: Convert to fraction form
    310.44/428.04 = 199.92/x
  3. Step 3: Cross multiply
    310.44x = 428.04 × 199.92
  4. Step 4: Simplify right side
    310.44x = 85,573.76
  5. Step 5: Solve for x
    x = 85,573.76/310.44
  6. Step 6: Final answer
    x = 275.65

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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.