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Finding the Fourth Proportional to 275.80, 413.70 and 257.80

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Solution

The fourth proportional to 275.80, 413.70 and 257.80 is: 386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.80 : 413.70 = 257.80 : x
  2. Step 2: Convert to fraction form
    275.80/413.70 = 257.80/x
  3. Step 3: Cross multiply
    275.80x = 413.70 × 257.80
  4. Step 4: Simplify right side
    275.80x = 106,651.86
  5. Step 5: Solve for x
    x = 106,651.86/275.80
  6. Step 6: Final answer
    x = 386.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.