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Finding the Fourth Proportional to 646.13, 891.86 and 413.25

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Solution

The fourth proportional to 646.13, 891.86 and 413.25 is: 570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.13 : 891.86 = 413.25 : x
  2. Step 2: Convert to fraction form
    646.13/891.86 = 413.25/x
  3. Step 3: Cross multiply
    646.13x = 891.86 × 413.25
  4. Step 4: Simplify right side
    646.13x = 368,559.08
  5. Step 5: Solve for x
    x = 368,559.08/646.13
  6. Step 6: Final answer
    x = 570.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.