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Finding the Fourth Proportional to 276.14, 414.40 and 254.64

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Solution

The fourth proportional to 276.14, 414.40 and 254.64 is: 382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.14 : 414.40 = 254.64 : x
  2. Step 2: Convert to fraction form
    276.14/414.40 = 254.64/x
  3. Step 3: Cross multiply
    276.14x = 414.40 × 254.64
  4. Step 4: Simplify right side
    276.14x = 105,522.82
  5. Step 5: Solve for x
    x = 105,522.82/276.14
  6. Step 6: Final answer
    x = 382.14

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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.