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Finding the Fourth Proportional to 412.85, 619.38 and 230.37

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Solution

The fourth proportional to 412.85, 619.38 and 230.37 is: 345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.85 : 619.38 = 230.37 : x
  2. Step 2: Convert to fraction form
    412.85/619.38 = 230.37/x
  3. Step 3: Cross multiply
    412.85x = 619.38 × 230.37
  4. Step 4: Simplify right side
    412.85x = 142,686.57
  5. Step 5: Solve for x
    x = 142,686.57/412.85
  6. Step 6: Final answer
    x = 345.62

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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.