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Finding the Fourth Proportional to 444.80, 663.16 and 433.40

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Solution

The fourth proportional to 444.80, 663.16 and 433.40 is: 646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.80 : 663.16 = 433.40 : x
  2. Step 2: Convert to fraction form
    444.80/663.16 = 433.40/x
  3. Step 3: Cross multiply
    444.80x = 663.16 × 433.40
  4. Step 4: Simplify right side
    444.80x = 287,413.54
  5. Step 5: Solve for x
    x = 287,413.54/444.80
  6. Step 6: Final answer
    x = 646.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.