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Finding the Fourth Proportional to 413.78, 621.07 and 275.27

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Solution

The fourth proportional to 413.78, 621.07 and 275.27 is: 413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 621.07 = 275.27 : x
  2. Step 2: Convert to fraction form
    413.78/621.07 = 275.27/x
  3. Step 3: Cross multiply
    413.78x = 621.07 × 275.27
  4. Step 4: Simplify right side
    413.78x = 170,958.15
  5. Step 5: Solve for x
    x = 170,958.15/413.78
  6. Step 6: Final answer
    x = 413.17

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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.