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Finding the Fourth Proportional to 646.37, 892.20 and 413.49

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Solution

The fourth proportional to 646.37, 892.20 and 413.49 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.37 : 892.20 = 413.49 : x
  2. Step 2: Convert to fraction form
    646.37/892.20 = 413.49/x
  3. Step 3: Cross multiply
    646.37x = 892.20 × 413.49
  4. Step 4: Simplify right side
    646.37x = 368,915.78
  5. Step 5: Solve for x
    x = 368,915.78/646.37
  6. Step 6: Final answer
    x = 570.75

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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.