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Finding the Fourth Proportional to 419.50, 629.00 and 172.63

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Solution

The fourth proportional to 419.50, 629.00 and 172.63 is: 258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.50 : 629.00 = 172.63 : x
  2. Step 2: Convert to fraction form
    419.50/629.00 = 172.63/x
  3. Step 3: Cross multiply
    419.50x = 629.00 × 172.63
  4. Step 4: Simplify right side
    419.50x = 108,583.13
  5. Step 5: Solve for x
    x = 108,583.13/419.50
  6. Step 6: Final answer
    x = 258.84

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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.