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Finding the Fourth Proportional to 675.96, 932.49 and 413.79

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Solution

The fourth proportional to 675.96, 932.49 and 413.79 is: 570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.96 : 932.49 = 413.79 : x
  2. Step 2: Convert to fraction form
    675.96/932.49 = 413.79/x
  3. Step 3: Cross multiply
    675.96x = 932.49 × 413.79
  4. Step 4: Simplify right side
    675.96x = 385,855.04
  5. Step 5: Solve for x
    x = 385,855.04/675.96
  6. Step 6: Final answer
    x = 570.83

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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.