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Finding the Fourth Proportional to 675.47, 932.09 and 413.43

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Solution

The fourth proportional to 675.47, 932.09 and 413.43 is: 570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.47 : 932.09 = 413.43 : x
  2. Step 2: Convert to fraction form
    675.47/932.09 = 413.43/x
  3. Step 3: Cross multiply
    675.47x = 932.09 × 413.43
  4. Step 4: Simplify right side
    675.47x = 385,351.90
  5. Step 5: Solve for x
    x = 385,351.90/675.47
  6. Step 6: Final answer
    x = 570.50

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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.