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Finding the Fourth Proportional to 412.82, 619.24 and 120.34

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Solution

The fourth proportional to 412.82, 619.24 and 120.34 is: 180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.82 : 619.24 = 120.34 : x
  2. Step 2: Convert to fraction form
    412.82/619.24 = 120.34/x
  3. Step 3: Cross multiply
    412.82x = 619.24 × 120.34
  4. Step 4: Simplify right side
    412.82x = 74,519.34
  5. Step 5: Solve for x
    x = 74,519.34/412.82
  6. Step 6: Final answer
    x = 180.51

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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.