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Finding the Fourth Proportional to 310.54, 428.46 and 200.05

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Solution

The fourth proportional to 310.54, 428.46 and 200.05 is: 276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.54 : 428.46 = 200.05 : x
  2. Step 2: Convert to fraction form
    310.54/428.46 = 200.05/x
  3. Step 3: Cross multiply
    310.54x = 428.46 × 200.05
  4. Step 4: Simplify right side
    310.54x = 85,714.01
  5. Step 5: Solve for x
    x = 85,714.01/310.54
  6. Step 6: Final answer
    x = 276.02

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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.