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Finding the Fourth Proportional to 277.62, 414.06 and 268.62

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Solution

The fourth proportional to 277.62, 414.06 and 268.62 is: 400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.62 : 414.06 = 268.62 : x
  2. Step 2: Convert to fraction form
    277.62/414.06 = 268.62/x
  3. Step 3: Cross multiply
    277.62x = 414.06 × 268.62
  4. Step 4: Simplify right side
    277.62x = 111,224.80
  5. Step 5: Solve for x
    x = 111,224.80/277.62
  6. Step 6: Final answer
    x = 400.64

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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.