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Finding the Fourth Proportional to 419.73, 629.12 and 214.01

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Solution

The fourth proportional to 419.73, 629.12 and 214.01 is: 320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.73 : 629.12 = 214.01 : x
  2. Step 2: Convert to fraction form
    419.73/629.12 = 214.01/x
  3. Step 3: Cross multiply
    419.73x = 629.12 × 214.01
  4. Step 4: Simplify right side
    419.73x = 134,633.76
  5. Step 5: Solve for x
    x = 134,633.76/419.73
  6. Step 6: Final answer
    x = 320.76

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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.