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Finding the Fourth Proportional to 419.87, 629.64 and 145.88

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Solution

The fourth proportional to 419.87, 629.64 and 145.88 is: 218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.87 : 629.64 = 145.88 : x
  2. Step 2: Convert to fraction form
    419.87/629.64 = 145.88/x
  3. Step 3: Cross multiply
    419.87x = 629.64 × 145.88
  4. Step 4: Simplify right side
    419.87x = 91,851.88
  5. Step 5: Solve for x
    x = 91,851.88/419.87
  6. Step 6: Final answer
    x = 218.76

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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.