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Finding the Fourth Proportional to 681.82, 939.81 and 472.30

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Solution

The fourth proportional to 681.82, 939.81 and 472.30 is: 651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.82 : 939.81 = 472.30 : x
  2. Step 2: Convert to fraction form
    681.82/939.81 = 472.30/x
  3. Step 3: Cross multiply
    681.82x = 939.81 × 472.30
  4. Step 4: Simplify right side
    681.82x = 443,872.26
  5. Step 5: Solve for x
    x = 443,872.26/681.82
  6. Step 6: Final answer
    x = 651.01

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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.