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Finding the Fourth Proportional to 420.44, 629.85 and 343.49

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Solution

The fourth proportional to 420.44, 629.85 and 343.49 is: 514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.44 : 629.85 = 343.49 : x
  2. Step 2: Convert to fraction form
    420.44/629.85 = 343.49/x
  3. Step 3: Cross multiply
    420.44x = 629.85 × 343.49
  4. Step 4: Simplify right side
    420.44x = 216,347.18
  5. Step 5: Solve for x
    x = 216,347.18/420.44
  6. Step 6: Final answer
    x = 514.57

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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.