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Finding the Fourth Proportional to 308.28, 425.73 and 263.76

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Solution

The fourth proportional to 308.28, 425.73 and 263.76 is: 364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.28 : 425.73 = 263.76 : x
  2. Step 2: Convert to fraction form
    308.28/425.73 = 263.76/x
  3. Step 3: Cross multiply
    308.28x = 425.73 × 263.76
  4. Step 4: Simplify right side
    308.28x = 112,290.54
  5. Step 5: Solve for x
    x = 112,290.54/308.28
  6. Step 6: Final answer
    x = 364.25

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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.