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Finding the Fourth Proportional to 274.93, 410.13 and 255.29

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Solution

The fourth proportional to 274.93, 410.13 and 255.29 is: 380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.93 : 410.13 = 255.29 : x
  2. Step 2: Convert to fraction form
    274.93/410.13 = 255.29/x
  3. Step 3: Cross multiply
    274.93x = 410.13 × 255.29
  4. Step 4: Simplify right side
    274.93x = 104,700.04
  5. Step 5: Solve for x
    x = 104,700.04/274.93
  6. Step 6: Final answer
    x = 380.83

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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.