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Finding the Fourth Proportional to 413.87, 571.01 and 266.49

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Solution

The fourth proportional to 413.87, 571.01 and 266.49 is: 367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.87 : 571.01 = 266.49 : x
  2. Step 2: Convert to fraction form
    413.87/571.01 = 266.49/x
  3. Step 3: Cross multiply
    413.87x = 571.01 × 266.49
  4. Step 4: Simplify right side
    413.87x = 152,167.12
  5. Step 5: Solve for x
    x = 152,167.12/413.87
  6. Step 6: Final answer
    x = 367.67

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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.