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Finding the Fourth Proportional to 419.14, 627.94 and 402.22

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Solution

The fourth proportional to 419.14, 627.94 and 402.22 is: 602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.14 : 627.94 = 402.22 : x
  2. Step 2: Convert to fraction form
    419.14/627.94 = 402.22/x
  3. Step 3: Cross multiply
    419.14x = 627.94 × 402.22
  4. Step 4: Simplify right side
    419.14x = 252,570.03
  5. Step 5: Solve for x
    x = 252,570.03/419.14
  6. Step 6: Final answer
    x = 602.59

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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.