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Finding the Fourth Proportional to 274, 408.58 and 254.16

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Solution

The fourth proportional to 274, 408.58 and 254.16 is: 379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274 : 408.58 = 254.16 : x
  2. Step 2: Convert to fraction form
    274/408.58 = 254.16/x
  3. Step 3: Cross multiply
    274x = 408.58 × 254.16
  4. Step 4: Simplify right side
    274x = 103,844.69
  5. Step 5: Solve for x
    x = 103,844.69/274
  6. Step 6: Final answer
    x = 379.00

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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.