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Finding the Fourth Proportional to 413.43, 570.69 and 266.19

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Solution

The fourth proportional to 413.43, 570.69 and 266.19 is: 367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.43 : 570.69 = 266.19 : x
  2. Step 2: Convert to fraction form
    413.43/570.69 = 266.19/x
  3. Step 3: Cross multiply
    413.43x = 570.69 × 266.19
  4. Step 4: Simplify right side
    413.43x = 151,911.97
  5. Step 5: Solve for x
    x = 151,911.97/413.43
  6. Step 6: Final answer
    x = 367.44

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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.