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Finding the Fourth Proportional to 419.10, 629.04 and 236.70

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Solution

The fourth proportional to 419.10, 629.04 and 236.70 is: 355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.10 : 629.04 = 236.70 : x
  2. Step 2: Convert to fraction form
    419.10/629.04 = 236.70/x
  3. Step 3: Cross multiply
    419.10x = 629.04 × 236.70
  4. Step 4: Simplify right side
    419.10x = 148,893.77
  5. Step 5: Solve for x
    x = 148,893.77/419.10
  6. Step 6: Final answer
    x = 355.27

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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.