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Finding the Fourth Proportional to 627.65, 940.62 and 367.10

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Solution

The fourth proportional to 627.65, 940.62 and 367.10 is: 550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.65 : 940.62 = 367.10 : x
  2. Step 2: Convert to fraction form
    627.65/940.62 = 367.10/x
  3. Step 3: Cross multiply
    627.65x = 940.62 × 367.10
  4. Step 4: Simplify right side
    627.65x = 345,303.95
  5. Step 5: Solve for x
    x = 345,303.95/627.65
  6. Step 6: Final answer
    x = 550.15

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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.