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Finding the Fourth Proportional to 685.29, 945.56 and 436.53

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Solution

The fourth proportional to 685.29, 945.56 and 436.53 is: 602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.29 : 945.56 = 436.53 : x
  2. Step 2: Convert to fraction form
    685.29/945.56 = 436.53/x
  3. Step 3: Cross multiply
    685.29x = 945.56 × 436.53
  4. Step 4: Simplify right side
    685.29x = 412,765.31
  5. Step 5: Solve for x
    x = 412,765.31/685.29
  6. Step 6: Final answer
    x = 602.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.