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Finding the Fourth Proportional to 419.86, 629.28 and 211.18

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Solution

The fourth proportional to 419.86, 629.28 and 211.18 is: 316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.86 : 629.28 = 211.18 : x
  2. Step 2: Convert to fraction form
    419.86/629.28 = 211.18/x
  3. Step 3: Cross multiply
    419.86x = 629.28 × 211.18
  4. Step 4: Simplify right side
    419.86x = 132,891.35
  5. Step 5: Solve for x
    x = 132,891.35/419.86
  6. Step 6: Final answer
    x = 316.51

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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.