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Finding the Fourth Proportional to 280.49, 386.28 and 274.43

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Solution

The fourth proportional to 280.49, 386.28 and 274.43 is: 377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.49 : 386.28 = 274.43 : x
  2. Step 2: Convert to fraction form
    280.49/386.28 = 274.43/x
  3. Step 3: Cross multiply
    280.49x = 386.28 × 274.43
  4. Step 4: Simplify right side
    280.49x = 106,004.89
  5. Step 5: Solve for x
    x = 106,004.89/280.49
  6. Step 6: Final answer
    x = 377.93

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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.