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Finding the Fourth Proportional to 277.60, 414.44 and 254.80

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Solution

The fourth proportional to 277.60, 414.44 and 254.80 is: 380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 414.44 = 254.80 : x
  2. Step 2: Convert to fraction form
    277.60/414.44 = 254.80/x
  3. Step 3: Cross multiply
    277.60x = 414.44 × 254.80
  4. Step 4: Simplify right side
    277.60x = 105,599.31
  5. Step 5: Solve for x
    x = 105,599.31/277.60
  6. Step 6: Final answer
    x = 380.40

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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.