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Finding the Fourth Proportional to 280.36, 418.26 and 277.32

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Solution

The fourth proportional to 280.36, 418.26 and 277.32 is: 413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.36 : 418.26 = 277.32 : x
  2. Step 2: Convert to fraction form
    280.36/418.26 = 277.32/x
  3. Step 3: Cross multiply
    280.36x = 418.26 × 277.32
  4. Step 4: Simplify right side
    280.36x = 115,994.47
  5. Step 5: Solve for x
    x = 115,994.47/280.36
  6. Step 6: Final answer
    x = 413.73

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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.