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Finding the Fourth Proportional to 675.99, 932.31 and 413.82

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Solution

The fourth proportional to 675.99, 932.31 and 413.82 is: 570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.99 : 932.31 = 413.82 : x
  2. Step 2: Convert to fraction form
    675.99/932.31 = 413.82/x
  3. Step 3: Cross multiply
    675.99x = 932.31 × 413.82
  4. Step 4: Simplify right side
    675.99x = 385,808.52
  5. Step 5: Solve for x
    x = 385,808.52/675.99
  6. Step 6: Final answer
    x = 570.73

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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.