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Finding the Fourth Proportional to 413.84, 620.68 and 157.16

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Solution

The fourth proportional to 413.84, 620.68 and 157.16 is: 235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 620.68 = 157.16 : x
  2. Step 2: Convert to fraction form
    413.84/620.68 = 157.16/x
  3. Step 3: Cross multiply
    413.84x = 620.68 × 157.16
  4. Step 4: Simplify right side
    413.84x = 97,546.07
  5. Step 5: Solve for x
    x = 97,546.07/413.84
  6. Step 6: Final answer
    x = 235.71

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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.