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Finding the Fourth Proportional to 277.64, 414.95 and 255.75

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Solution

The fourth proportional to 277.64, 414.95 and 255.75 is: 382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.64 : 414.95 = 255.75 : x
  2. Step 2: Convert to fraction form
    277.64/414.95 = 255.75/x
  3. Step 3: Cross multiply
    277.64x = 414.95 × 255.75
  4. Step 4: Simplify right side
    277.64x = 106,123.46
  5. Step 5: Solve for x
    x = 106,123.46/277.64
  6. Step 6: Final answer
    x = 382.23

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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.