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Finding the Fourth Proportional to 627, 940.02 and 338.04

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Solution

The fourth proportional to 627, 940.02 and 338.04 is: 506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    627 : 940.02 = 338.04 : x
  2. Step 2: Convert to fraction form
    627/940.02 = 338.04/x
  3. Step 3: Cross multiply
    627x = 940.02 × 338.04
  4. Step 4: Simplify right side
    627x = 317,764.36
  5. Step 5: Solve for x
    x = 317,764.36/627
  6. Step 6: Final answer
    x = 506.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.