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Finding the Fourth Proportional to 681.20, 939.08 and 419.04

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Solution

The fourth proportional to 681.20, 939.08 and 419.04 is: 577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.20 : 939.08 = 419.04 : x
  2. Step 2: Convert to fraction form
    681.20/939.08 = 419.04/x
  3. Step 3: Cross multiply
    681.20x = 939.08 × 419.04
  4. Step 4: Simplify right side
    681.20x = 393,512.08
  5. Step 5: Solve for x
    x = 393,512.08/681.20
  6. Step 6: Final answer
    x = 577.67

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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.