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Finding the Fourth Proportional to 413.26, 620.14 and 156.76

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Solution

The fourth proportional to 413.26, 620.14 and 156.76 is: 235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.26 : 620.14 = 156.76 : x
  2. Step 2: Convert to fraction form
    413.26/620.14 = 156.76/x
  3. Step 3: Cross multiply
    413.26x = 620.14 × 156.76
  4. Step 4: Simplify right side
    413.26x = 97,213.15
  5. Step 5: Solve for x
    x = 97,213.15/413.26
  6. Step 6: Final answer
    x = 235.23

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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.