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Finding the Fourth Proportional to 681.59, 940.46 and 471.42

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Solution

The fourth proportional to 681.59, 940.46 and 471.42 is: 650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.59 : 940.46 = 471.42 : x
  2. Step 2: Convert to fraction form
    681.59/940.46 = 471.42/x
  3. Step 3: Cross multiply
    681.59x = 940.46 × 471.42
  4. Step 4: Simplify right side
    681.59x = 443,349.30
  5. Step 5: Solve for x
    x = 443,349.30/681.59
  6. Step 6: Final answer
    x = 650.47

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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.