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Finding the Fourth Proportional to 413.98, 571.68 and 266.88

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Solution

The fourth proportional to 413.98, 571.68 and 266.88 is: 368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.98 : 571.68 = 266.88 : x
  2. Step 2: Convert to fraction form
    413.98/571.68 = 266.88/x
  3. Step 3: Cross multiply
    413.98x = 571.68 × 266.88
  4. Step 4: Simplify right side
    413.98x = 152,569.96
  5. Step 5: Solve for x
    x = 152,569.96/413.98
  6. Step 6: Final answer
    x = 368.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.