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Finding the Fourth Proportional to 274.16, 408.53 and 263.84

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Solution

The fourth proportional to 274.16, 408.53 and 263.84 is: 393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 408.53 = 263.84 : x
  2. Step 2: Convert to fraction form
    274.16/408.53 = 263.84/x
  3. Step 3: Cross multiply
    274.16x = 408.53 × 263.84
  4. Step 4: Simplify right side
    274.16x = 107,786.56
  5. Step 5: Solve for x
    x = 107,786.56/274.16
  6. Step 6: Final answer
    x = 393.15

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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.