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Finding the Fourth Proportional to 305.56, 455.50 and 277.48

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Solution

The fourth proportional to 305.56, 455.50 and 277.48 is: 413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.56 : 455.50 = 277.48 : x
  2. Step 2: Convert to fraction form
    305.56/455.50 = 277.48/x
  3. Step 3: Cross multiply
    305.56x = 455.50 × 277.48
  4. Step 4: Simplify right side
    305.56x = 126,392.14
  5. Step 5: Solve for x
    x = 126,392.14/305.56
  6. Step 6: Final answer
    x = 413.64

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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.