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Finding the Fourth Proportional to 419.48, 629.47 and 234.54

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Solution

The fourth proportional to 419.48, 629.47 and 234.54 is: 351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 629.47 = 234.54 : x
  2. Step 2: Convert to fraction form
    419.48/629.47 = 234.54/x
  3. Step 3: Cross multiply
    419.48x = 629.47 × 234.54
  4. Step 4: Simplify right side
    419.48x = 147,635.31
  5. Step 5: Solve for x
    x = 147,635.31/419.48
  6. Step 6: Final answer
    x = 351.95

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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.