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Finding the Fourth Proportional to 681.64, 940.72 and 419.72

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Solution

The fourth proportional to 681.64, 940.72 and 419.72 is: 579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.64 : 940.72 = 419.72 : x
  2. Step 2: Convert to fraction form
    681.64/940.72 = 419.72/x
  3. Step 3: Cross multiply
    681.64x = 940.72 × 419.72
  4. Step 4: Simplify right side
    681.64x = 394,839.00
  5. Step 5: Solve for x
    x = 394,839.00/681.64
  6. Step 6: Final answer
    x = 579.25

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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.