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Finding the Fourth Proportional to 675.94, 932.74 and 413.95

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Solution

The fourth proportional to 675.94, 932.74 and 413.95 is: 571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.94 : 932.74 = 413.95 : x
  2. Step 2: Convert to fraction form
    675.94/932.74 = 413.95/x
  3. Step 3: Cross multiply
    675.94x = 932.74 × 413.95
  4. Step 4: Simplify right side
    675.94x = 386,107.72
  5. Step 5: Solve for x
    x = 386,107.72/675.94
  6. Step 6: Final answer
    x = 571.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.