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Finding the Fourth Proportional to 675.26, 932.01 and 413.49

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Solution

The fourth proportional to 675.26, 932.01 and 413.49 is: 570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.26 : 932.01 = 413.49 : x
  2. Step 2: Convert to fraction form
    675.26/932.01 = 413.49/x
  3. Step 3: Cross multiply
    675.26x = 932.01 × 413.49
  4. Step 4: Simplify right side
    675.26x = 385,376.81
  5. Step 5: Solve for x
    x = 385,376.81/675.26
  6. Step 6: Final answer
    x = 570.71

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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.