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Finding the Fourth Proportional to 627.80, 941.70 and 409.10

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Solution

The fourth proportional to 627.80, 941.70 and 409.10 is: 613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.80 : 941.70 = 409.10 : x
  2. Step 2: Convert to fraction form
    627.80/941.70 = 409.10/x
  3. Step 3: Cross multiply
    627.80x = 941.70 × 409.10
  4. Step 4: Simplify right side
    627.80x = 385,249.47
  5. Step 5: Solve for x
    x = 385,249.47/627.80
  6. Step 6: Final answer
    x = 613.65

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Similar ratio
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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.