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Finding the Fourth Proportional to 413.72, 570.66 and 266.54

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Solution

The fourth proportional to 413.72, 570.66 and 266.54 is: 367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.72 : 570.66 = 266.54 : x
  2. Step 2: Convert to fraction form
    413.72/570.66 = 266.54/x
  3. Step 3: Cross multiply
    413.72x = 570.66 × 266.54
  4. Step 4: Simplify right side
    413.72x = 152,103.72
  5. Step 5: Solve for x
    x = 152,103.72/413.72
  6. Step 6: Final answer
    x = 367.65

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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.