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Finding the Fourth Proportional to 413.84, 571.15 and 266.90

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Solution

The fourth proportional to 413.84, 571.15 and 266.90 is: 368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 571.15 = 266.90 : x
  2. Step 2: Convert to fraction form
    413.84/571.15 = 266.90/x
  3. Step 3: Cross multiply
    413.84x = 571.15 × 266.90
  4. Step 4: Simplify right side
    413.84x = 152,441.87
  5. Step 5: Solve for x
    x = 152,441.87/413.84
  6. Step 6: Final answer
    x = 368.36

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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.