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Finding the Fourth Proportional to 412.11, 619.47 and 229.86

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Solution

The fourth proportional to 412.11, 619.47 and 229.86 is: 345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.11 : 619.47 = 229.86 : x
  2. Step 2: Convert to fraction form
    412.11/619.47 = 229.86/x
  3. Step 3: Cross multiply
    412.11x = 619.47 × 229.86
  4. Step 4: Simplify right side
    412.11x = 142,391.37
  5. Step 5: Solve for x
    x = 142,391.37/412.11
  6. Step 6: Final answer
    x = 345.52

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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.