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Finding the Fourth Proportional to 419.04, 627.95 and 367.56

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Solution

The fourth proportional to 419.04, 627.95 and 367.56 is: 550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 627.95 = 367.56 : x
  2. Step 2: Convert to fraction form
    419.04/627.95 = 367.56/x
  3. Step 3: Cross multiply
    419.04x = 627.95 × 367.56
  4. Step 4: Simplify right side
    419.04x = 230,809.30
  5. Step 5: Solve for x
    x = 230,809.30/419.04
  6. Step 6: Final answer
    x = 550.80

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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.