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Finding the Fourth Proportional to 277, 416.45 and 254.23

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Solution

The fourth proportional to 277, 416.45 and 254.23 is: 382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277 : 416.45 = 254.23 : x
  2. Step 2: Convert to fraction form
    277/416.45 = 254.23/x
  3. Step 3: Cross multiply
    277x = 416.45 × 254.23
  4. Step 4: Simplify right side
    277x = 105,874.08
  5. Step 5: Solve for x
    x = 105,874.08/277
  6. Step 6: Final answer
    x = 382.22

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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.