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Finding the Fourth Proportional to 308.58, 426.02 and 275.76

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Solution

The fourth proportional to 308.58, 426.02 and 275.76 is: 380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.58 : 426.02 = 275.76 : x
  2. Step 2: Convert to fraction form
    308.58/426.02 = 275.76/x
  3. Step 3: Cross multiply
    308.58x = 426.02 × 275.76
  4. Step 4: Simplify right side
    308.58x = 117,479.28
  5. Step 5: Solve for x
    x = 117,479.28/308.58
  6. Step 6: Final answer
    x = 380.71

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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.