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Finding the Fourth Proportional to 412.07, 617.12 and 238.37

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Solution

The fourth proportional to 412.07, 617.12 and 238.37 is: 356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.07 : 617.12 = 238.37 : x
  2. Step 2: Convert to fraction form
    412.07/617.12 = 238.37/x
  3. Step 3: Cross multiply
    412.07x = 617.12 × 238.37
  4. Step 4: Simplify right side
    412.07x = 147,098.62
  5. Step 5: Solve for x
    x = 147,098.62/412.07
  6. Step 6: Final answer
    x = 356.98

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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.