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Finding the Fourth Proportional to 412.53, 617.60 and 319.88

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Solution

The fourth proportional to 412.53, 617.60 and 319.88 is: 478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.53 : 617.60 = 319.88 : x
  2. Step 2: Convert to fraction form
    412.53/617.60 = 319.88/x
  3. Step 3: Cross multiply
    412.53x = 617.60 × 319.88
  4. Step 4: Simplify right side
    412.53x = 197,553.20
  5. Step 5: Solve for x
    x = 197,553.20/412.53
  6. Step 6: Final answer
    x = 478.88

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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.