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Finding the Fourth Proportional to 419.50, 629.15 and 159.53

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Solution

The fourth proportional to 419.50, 629.15 and 159.53 is: 239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.50 : 629.15 = 159.53 : x
  2. Step 2: Convert to fraction form
    419.50/629.15 = 159.53/x
  3. Step 3: Cross multiply
    419.50x = 629.15 × 159.53
  4. Step 4: Simplify right side
    419.50x = 100,365.55
  5. Step 5: Solve for x
    x = 100,365.55/419.50
  6. Step 6: Final answer
    x = 239.25

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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.