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Finding the Fourth Proportional to 627.92, 939.96 and 465.20

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Solution

The fourth proportional to 627.92, 939.96 and 465.20 is: 696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.92 : 939.96 = 465.20 : x
  2. Step 2: Convert to fraction form
    627.92/939.96 = 465.20/x
  3. Step 3: Cross multiply
    627.92x = 939.96 × 465.20
  4. Step 4: Simplify right side
    627.92x = 437,269.39
  5. Step 5: Solve for x
    x = 437,269.39/627.92
  6. Step 6: Final answer
    x = 696.38

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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.