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Finding the Fourth Proportional to 646.20, 891.54 and 413.46

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Solution

The fourth proportional to 646.20, 891.54 and 413.46 is: 570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.20 : 891.54 = 413.46 : x
  2. Step 2: Convert to fraction form
    646.20/891.54 = 413.46/x
  3. Step 3: Cross multiply
    646.20x = 891.54 × 413.46
  4. Step 4: Simplify right side
    646.20x = 368,616.13
  5. Step 5: Solve for x
    x = 368,616.13/646.20
  6. Step 6: Final answer
    x = 570.44

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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.