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Finding the Fourth Proportional to 413.86, 571.16 and 266.40

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Solution

The fourth proportional to 413.86, 571.16 and 266.40 is: 367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.86 : 571.16 = 266.40 : x
  2. Step 2: Convert to fraction form
    413.86/571.16 = 266.40/x
  3. Step 3: Cross multiply
    413.86x = 571.16 × 266.40
  4. Step 4: Simplify right side
    413.86x = 152,157.02
  5. Step 5: Solve for x
    x = 152,157.02/413.86
  6. Step 6: Final answer
    x = 367.65

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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.