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Finding the Fourth Proportional to 684.97, 945.56 and 436.62

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Solution

The fourth proportional to 684.97, 945.56 and 436.62 is: 602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.97 : 945.56 = 436.62 : x
  2. Step 2: Convert to fraction form
    684.97/945.56 = 436.62/x
  3. Step 3: Cross multiply
    684.97x = 945.56 × 436.62
  4. Step 4: Simplify right side
    684.97x = 412,850.41
  5. Step 5: Solve for x
    x = 412,850.41/684.97
  6. Step 6: Final answer
    x = 602.73

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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.