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Finding the Fourth Proportional to 419.68, 629.58 and 131.20

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Solution

The fourth proportional to 419.68, 629.58 and 131.20 is: 196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.68 : 629.58 = 131.20 : x
  2. Step 2: Convert to fraction form
    419.68/629.58 = 131.20/x
  3. Step 3: Cross multiply
    419.68x = 629.58 × 131.20
  4. Step 4: Simplify right side
    419.68x = 82,600.90
  5. Step 5: Solve for x
    x = 82,600.90/419.68
  6. Step 6: Final answer
    x = 196.82

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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.