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Finding the Fourth Proportional to 277.39, 413.17 and 263.35

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Solution

The fourth proportional to 277.39, 413.17 and 263.35 is: 392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.39 : 413.17 = 263.35 : x
  2. Step 2: Convert to fraction form
    277.39/413.17 = 263.35/x
  3. Step 3: Cross multiply
    277.39x = 413.17 × 263.35
  4. Step 4: Simplify right side
    277.39x = 108,806.25
  5. Step 5: Solve for x
    x = 108,806.25/277.39
  6. Step 6: Final answer
    x = 392.26

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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.