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Finding the Fourth Proportional to 412.78, 619.19 and 230.04

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Solution

The fourth proportional to 412.78, 619.19 and 230.04 is: 345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.78 : 619.19 = 230.04 : x
  2. Step 2: Convert to fraction form
    412.78/619.19 = 230.04/x
  3. Step 3: Cross multiply
    412.78x = 619.19 × 230.04
  4. Step 4: Simplify right side
    412.78x = 142,435.37
  5. Step 5: Solve for x
    x = 142,435.37/412.78
  6. Step 6: Final answer
    x = 345.06

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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.