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Finding the Fourth Proportional to 681.52, 940.54 and 419.56

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Solution

The fourth proportional to 681.52, 940.54 and 419.56 is: 579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.52 : 940.54 = 419.56 : x
  2. Step 2: Convert to fraction form
    681.52/940.54 = 419.56/x
  3. Step 3: Cross multiply
    681.52x = 940.54 × 419.56
  4. Step 4: Simplify right side
    681.52x = 394,612.96
  5. Step 5: Solve for x
    x = 394,612.96/681.52
  6. Step 6: Final answer
    x = 579.02

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1.5x scale

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.