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Finding the Fourth Proportional to 646.52, 891.81 and 413.64

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Solution

The fourth proportional to 646.52, 891.81 and 413.64 is: 570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.52 : 891.81 = 413.64 : x
  2. Step 2: Convert to fraction form
    646.52/891.81 = 413.64/x
  3. Step 3: Cross multiply
    646.52x = 891.81 × 413.64
  4. Step 4: Simplify right side
    646.52x = 368,888.29
  5. Step 5: Solve for x
    x = 368,888.29/646.52
  6. Step 6: Final answer
    x = 570.58

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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.