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Finding the Fourth Proportional to 413.07, 570.11 and 273.19

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Solution

The fourth proportional to 413.07, 570.11 and 273.19 is: 377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.07 : 570.11 = 273.19 : x
  2. Step 2: Convert to fraction form
    413.07/570.11 = 273.19/x
  3. Step 3: Cross multiply
    413.07x = 570.11 × 273.19
  4. Step 4: Simplify right side
    413.07x = 155,748.35
  5. Step 5: Solve for x
    x = 155,748.35/413.07
  6. Step 6: Final answer
    x = 377.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.