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Finding the Fourth Proportional to 413.34, 571.23 and 308.78

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Solution

The fourth proportional to 413.34, 571.23 and 308.78 is: 426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.34 : 571.23 = 308.78 : x
  2. Step 2: Convert to fraction form
    413.34/571.23 = 308.78/x
  3. Step 3: Cross multiply
    413.34x = 571.23 × 308.78
  4. Step 4: Simplify right side
    413.34x = 176,381.54
  5. Step 5: Solve for x
    x = 176,381.54/413.34
  6. Step 6: Final answer
    x = 426.72

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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.