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Finding the Fourth Proportional to 413.42, 620.15 and 270.05

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Solution

The fourth proportional to 413.42, 620.15 and 270.05 is: 405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.42 : 620.15 = 270.05 : x
  2. Step 2: Convert to fraction form
    413.42/620.15 = 270.05/x
  3. Step 3: Cross multiply
    413.42x = 620.15 × 270.05
  4. Step 4: Simplify right side
    413.42x = 167,467.06
  5. Step 5: Solve for x
    x = 167,467.06/413.42
  6. Step 6: Final answer
    x = 405.08

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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.