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Finding the Fourth Proportional to 412.32, 618.41 and 229.62

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Solution

The fourth proportional to 412.32, 618.41 and 229.62 is: 344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 618.41 = 229.62 : x
  2. Step 2: Convert to fraction form
    412.32/618.41 = 229.62/x
  3. Step 3: Cross multiply
    412.32x = 618.41 × 229.62
  4. Step 4: Simplify right side
    412.32x = 141,998.16
  5. Step 5: Solve for x
    x = 141,998.16/412.32
  6. Step 6: Final answer
    x = 344.39

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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.