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Finding the Fourth Proportional to 413.91, 570.93 and 266.49

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Solution

The fourth proportional to 413.91, 570.93 and 266.49 is: 367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.91 : 570.93 = 266.49 : x
  2. Step 2: Convert to fraction form
    413.91/570.93 = 266.49/x
  3. Step 3: Cross multiply
    413.91x = 570.93 × 266.49
  4. Step 4: Simplify right side
    413.91x = 152,147.14
  5. Step 5: Solve for x
    x = 152,147.14/413.91
  6. Step 6: Final answer
    x = 367.59

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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.