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Finding the Fourth Proportional to 280.54, 384.86 and 277.57

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Solution

The fourth proportional to 280.54, 384.86 and 277.57 is: 380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.54 : 384.86 = 277.57 : x
  2. Step 2: Convert to fraction form
    280.54/384.86 = 277.57/x
  3. Step 3: Cross multiply
    280.54x = 384.86 × 277.57
  4. Step 4: Simplify right side
    280.54x = 106,825.59
  5. Step 5: Solve for x
    x = 106,825.59/280.54
  6. Step 6: Final answer
    x = 380.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.