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Finding the Fourth Proportional to 413.75, 571.01 and 266.73

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Solution

The fourth proportional to 413.75, 571.01 and 266.73 is: 368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.75 : 571.01 = 266.73 : x
  2. Step 2: Convert to fraction form
    413.75/571.01 = 266.73/x
  3. Step 3: Cross multiply
    413.75x = 571.01 × 266.73
  4. Step 4: Simplify right side
    413.75x = 152,304.16
  5. Step 5: Solve for x
    x = 152,304.16/413.75
  6. Step 6: Final answer
    x = 368.11

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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.