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Finding the Fourth Proportional to 419.74, 629.16 and 145.72

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Solution

The fourth proportional to 419.74, 629.16 and 145.72 is: 218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.74 : 629.16 = 145.72 : x
  2. Step 2: Convert to fraction form
    419.74/629.16 = 145.72/x
  3. Step 3: Cross multiply
    419.74x = 629.16 × 145.72
  4. Step 4: Simplify right side
    419.74x = 91,681.20
  5. Step 5: Solve for x
    x = 91,681.20/419.74
  6. Step 6: Final answer
    x = 218.42

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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.