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Finding the Fourth Proportional to 681.86, 941.04 and 419.84

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Solution

The fourth proportional to 681.86, 941.04 and 419.84 is: 579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.86 : 941.04 = 419.84 : x
  2. Step 2: Convert to fraction form
    681.86/941.04 = 419.84/x
  3. Step 3: Cross multiply
    681.86x = 941.04 × 419.84
  4. Step 4: Simplify right side
    681.86x = 395,086.23
  5. Step 5: Solve for x
    x = 395,086.23/681.86
  6. Step 6: Final answer
    x = 579.42

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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.