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Finding the Fourth Proportional to 646.26, 891.63 and 413.34

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Solution

The fourth proportional to 646.26, 891.63 and 413.34 is: 570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.26 : 891.63 = 413.34 : x
  2. Step 2: Convert to fraction form
    646.26/891.63 = 413.34/x
  3. Step 3: Cross multiply
    646.26x = 891.63 × 413.34
  4. Step 4: Simplify right side
    646.26x = 368,546.34
  5. Step 5: Solve for x
    x = 368,546.34/646.26
  6. Step 6: Final answer
    x = 570.28

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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.