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Finding the Fourth Proportional to 277.24, 413.66 and 275.08

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Solution

The fourth proportional to 277.24, 413.66 and 275.08 is: 410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.24 : 413.66 = 275.08 : x
  2. Step 2: Convert to fraction form
    277.24/413.66 = 275.08/x
  3. Step 3: Cross multiply
    277.24x = 413.66 × 275.08
  4. Step 4: Simplify right side
    277.24x = 113,789.59
  5. Step 5: Solve for x
    x = 113,789.59/277.24
  6. Step 6: Final answer
    x = 410.44

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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.