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Finding the Fourth Proportional to 681.42, 940.38 and 419.34

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Solution

The fourth proportional to 681.42, 940.38 and 419.34 is: 578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.42 : 940.38 = 419.34 : x
  2. Step 2: Convert to fraction form
    681.42/940.38 = 419.34/x
  3. Step 3: Cross multiply
    681.42x = 940.38 × 419.34
  4. Step 4: Simplify right side
    681.42x = 394,338.95
  5. Step 5: Solve for x
    x = 394,338.95/681.42
  6. Step 6: Final answer
    x = 578.70

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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.