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Finding the Fourth Proportional to 675.27, 932.00 and 413.51

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Solution

The fourth proportional to 675.27, 932.00 and 413.51 is: 570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.27 : 932.00 = 413.51 : x
  2. Step 2: Convert to fraction form
    675.27/932.00 = 413.51/x
  3. Step 3: Cross multiply
    675.27x = 932.00 × 413.51
  4. Step 4: Simplify right side
    675.27x = 385,384.59
  5. Step 5: Solve for x
    x = 385,384.59/675.27
  6. Step 6: Final answer
    x = 570.71

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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.