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Finding the Fourth Proportional to 310.74, 428.64 and 200.32

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Solution

The fourth proportional to 310.74, 428.64 and 200.32 is: 276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.74 : 428.64 = 200.32 : x
  2. Step 2: Convert to fraction form
    310.74/428.64 = 200.32/x
  3. Step 3: Cross multiply
    310.74x = 428.64 × 200.32
  4. Step 4: Simplify right side
    310.74x = 85,866.88
  5. Step 5: Solve for x
    x = 85,866.88/310.74
  6. Step 6: Final answer
    x = 276.33

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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.