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Finding the Fourth Proportional to 681.86, 940.56 and 419.42

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Solution

The fourth proportional to 681.86, 940.56 and 419.42 is: 578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.86 : 940.56 = 419.42 : x
  2. Step 2: Convert to fraction form
    681.86/940.56 = 419.42/x
  3. Step 3: Cross multiply
    681.86x = 940.56 × 419.42
  4. Step 4: Simplify right side
    681.86x = 394,490.45
  5. Step 5: Solve for x
    x = 394,490.45/681.86
  6. Step 6: Final answer
    x = 578.55

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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.