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Finding the Fourth Proportional to 274.28, 411.96 and 257

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Solution

The fourth proportional to 274.28, 411.96 and 257 is: 386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.28 : 411.96 = 257 : x
  2. Step 2: Convert to fraction form
    274.28/411.96 = 257/x
  3. Step 3: Cross multiply
    274.28x = 411.96 × 257
  4. Step 4: Simplify right side
    274.28x = 105,873.72
  5. Step 5: Solve for x
    x = 105,873.72/274.28
  6. Step 6: Final answer
    x = 386.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.