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Finding the Fourth Proportional to 412.29, 617.44 and 217.46

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Solution

The fourth proportional to 412.29, 617.44 and 217.46 is: 325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 617.44 = 217.46 : x
  2. Step 2: Convert to fraction form
    412.29/617.44 = 217.46/x
  3. Step 3: Cross multiply
    412.29x = 617.44 × 217.46
  4. Step 4: Simplify right side
    412.29x = 134,268.50
  5. Step 5: Solve for x
    x = 134,268.50/412.29
  6. Step 6: Final answer
    x = 325.67

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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.