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Finding the Fourth Proportional to 646.30, 965.54 and 413.22

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Solution

The fourth proportional to 646.30, 965.54 and 413.22 is: 617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.30 : 965.54 = 413.22 : x
  2. Step 2: Convert to fraction form
    646.30/965.54 = 413.22/x
  3. Step 3: Cross multiply
    646.30x = 965.54 × 413.22
  4. Step 4: Simplify right side
    646.30x = 398,980.44
  5. Step 5: Solve for x
    x = 398,980.44/646.30
  6. Step 6: Final answer
    x = 617.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.