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Finding the Fourth Proportional to 412.21, 617.37 and 319.60

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Solution

The fourth proportional to 412.21, 617.37 and 319.60 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.21 : 617.37 = 319.60 : x
  2. Step 2: Convert to fraction form
    412.21/617.37 = 319.60/x
  3. Step 3: Cross multiply
    412.21x = 617.37 × 319.60
  4. Step 4: Simplify right side
    412.21x = 197,311.45
  5. Step 5: Solve for x
    x = 197,311.45/412.21
  6. Step 6: Final answer
    x = 478.67

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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.