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Finding the Fourth Proportional to 419.97, 628.67 and 380.37

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Solution

The fourth proportional to 419.97, 628.67 and 380.37 is: 569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.97 : 628.67 = 380.37 : x
  2. Step 2: Convert to fraction form
    419.97/628.67 = 380.37/x
  3. Step 3: Cross multiply
    419.97x = 628.67 × 380.37
  4. Step 4: Simplify right side
    419.97x = 239,125.31
  5. Step 5: Solve for x
    x = 239,125.31/419.97
  6. Step 6: Final answer
    x = 569.39

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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.