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Finding the Fourth Proportional to 308.27, 460.26 and 275.47

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Solution

The fourth proportional to 308.27, 460.26 and 275.47 is: 411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.27 : 460.26 = 275.47 : x
  2. Step 2: Convert to fraction form
    308.27/460.26 = 275.47/x
  3. Step 3: Cross multiply
    308.27x = 460.26 × 275.47
  4. Step 4: Simplify right side
    308.27x = 126,786.67
  5. Step 5: Solve for x
    x = 126,786.67/308.27
  6. Step 6: Final answer
    x = 411.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.