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Finding the Fourth Proportional to 685.10, 945.51 and 436.43

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Solution

The fourth proportional to 685.10, 945.51 and 436.43 is: 602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.10 : 945.51 = 436.43 : x
  2. Step 2: Convert to fraction form
    685.10/945.51 = 436.43/x
  3. Step 3: Cross multiply
    685.10x = 945.51 × 436.43
  4. Step 4: Simplify right side
    685.10x = 412,644.20
  5. Step 5: Solve for x
    x = 412,644.20/685.10
  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.