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Finding the Fourth Proportional to 419.34, 629.01 and 257.97

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Solution

The fourth proportional to 419.34, 629.01 and 257.97 is: 386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.34 : 629.01 = 257.97 : x
  2. Step 2: Convert to fraction form
    419.34/629.01 = 257.97/x
  3. Step 3: Cross multiply
    419.34x = 629.01 × 257.97
  4. Step 4: Simplify right side
    419.34x = 162,265.71
  5. Step 5: Solve for x
    x = 162,265.71/419.34
  6. Step 6: Final answer
    x = 386.96

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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.