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Finding the Fourth Proportional to 337.28, 463.98 and 274.97

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Solution

The fourth proportional to 337.28, 463.98 and 274.97 is: 378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.28 : 463.98 = 274.97 : x
  2. Step 2: Convert to fraction form
    337.28/463.98 = 274.97/x
  3. Step 3: Cross multiply
    337.28x = 463.98 × 274.97
  4. Step 4: Simplify right side
    337.28x = 127,579.92
  5. Step 5: Solve for x
    x = 127,579.92/337.28
  6. Step 6: Final answer
    x = 378.27

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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.