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Finding the Fourth Proportional to 419.52, 629.25 and 145.59

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Solution

The fourth proportional to 419.52, 629.25 and 145.59 is: 218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.52 : 629.25 = 145.59 : x
  2. Step 2: Convert to fraction form
    419.52/629.25 = 145.59/x
  3. Step 3: Cross multiply
    419.52x = 629.25 × 145.59
  4. Step 4: Simplify right side
    419.52x = 91,612.51
  5. Step 5: Solve for x
    x = 91,612.51/419.52
  6. Step 6: Final answer
    x = 218.37

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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.