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Finding the Fourth Proportional to 646.06, 891.72 and 413.59

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Solution

The fourth proportional to 646.06, 891.72 and 413.59 is: 570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.06 : 891.72 = 413.59 : x
  2. Step 2: Convert to fraction form
    646.06/891.72 = 413.59/x
  3. Step 3: Cross multiply
    646.06x = 891.72 × 413.59
  4. Step 4: Simplify right side
    646.06x = 368,802.02
  5. Step 5: Solve for x
    x = 368,802.02/646.06
  6. Step 6: Final answer
    x = 570.85

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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.