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Finding the Fourth Proportional to 420.28, 629.40 and 214.54

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Solution

The fourth proportional to 420.28, 629.40 and 214.54 is: 321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.28 : 629.40 = 214.54 : x
  2. Step 2: Convert to fraction form
    420.28/629.40 = 214.54/x
  3. Step 3: Cross multiply
    420.28x = 629.40 × 214.54
  4. Step 4: Simplify right side
    420.28x = 135,031.48
  5. Step 5: Solve for x
    x = 135,031.48/420.28
  6. Step 6: Final answer
    x = 321.29

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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.