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Finding the Fourth Proportional to 308.63, 426.51 and 275.82

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Solution

The fourth proportional to 308.63, 426.51 and 275.82 is: 381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.63 : 426.51 = 275.82 : x
  2. Step 2: Convert to fraction form
    308.63/426.51 = 275.82/x
  3. Step 3: Cross multiply
    308.63x = 426.51 × 275.82
  4. Step 4: Simplify right side
    308.63x = 117,639.99
  5. Step 5: Solve for x
    x = 117,639.99/308.63
  6. Step 6: Final answer
    x = 381.17

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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.