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Finding the Fourth Proportional to 413.42, 620.70 and 268.08

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Solution

The fourth proportional to 413.42, 620.70 and 268.08 is: 402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.42 : 620.70 = 268.08 : x
  2. Step 2: Convert to fraction form
    413.42/620.70 = 268.08/x
  3. Step 3: Cross multiply
    413.42x = 620.70 × 268.08
  4. Step 4: Simplify right side
    413.42x = 166,397.26
  5. Step 5: Solve for x
    x = 166,397.26/413.42
  6. Step 6: Final answer
    x = 402.49

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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.