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Finding the Fourth Proportional to 419.60, 629.49 and 145.69

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Solution

The fourth proportional to 419.60, 629.49 and 145.69 is: 218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.60 : 629.49 = 145.69 : x
  2. Step 2: Convert to fraction form
    419.60/629.49 = 145.69/x
  3. Step 3: Cross multiply
    419.60x = 629.49 × 145.69
  4. Step 4: Simplify right side
    419.60x = 91,710.40
  5. Step 5: Solve for x
    x = 91,710.40/419.60
  6. Step 6: Final answer
    x = 218.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.