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Finding the Fourth Proportional to 681.72, 941.02 and 419.76

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Solution

The fourth proportional to 681.72, 941.02 and 419.76 is: 579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.72 : 941.02 = 419.76 : x
  2. Step 2: Convert to fraction form
    681.72/941.02 = 419.76/x
  3. Step 3: Cross multiply
    681.72x = 941.02 × 419.76
  4. Step 4: Simplify right side
    681.72x = 395,002.56
  5. Step 5: Solve for x
    x = 395,002.56/681.72
  6. Step 6: Final answer
    x = 579.42

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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.