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Finding the Fourth Proportional to 685.58, 945.62 and 436.97

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Solution

The fourth proportional to 685.58, 945.62 and 436.97 is: 602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.58 : 945.62 = 436.97 : x
  2. Step 2: Convert to fraction form
    685.58/945.62 = 436.97/x
  3. Step 3: Cross multiply
    685.58x = 945.62 × 436.97
  4. Step 4: Simplify right side
    685.58x = 413,205.39
  5. Step 5: Solve for x
    x = 413,205.39/685.58
  6. Step 6: Final answer
    x = 602.71

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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.