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Finding the Fourth Proportional to 419.85, 629.54 and 257.65

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Solution

The fourth proportional to 419.85, 629.54 and 257.65 is: 386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.85 : 629.54 = 257.65 : x
  2. Step 2: Convert to fraction form
    419.85/629.54 = 257.65/x
  3. Step 3: Cross multiply
    419.85x = 629.54 × 257.65
  4. Step 4: Simplify right side
    419.85x = 162,199.09
  5. Step 5: Solve for x
    x = 162,199.09/419.85
  6. Step 6: Final answer
    x = 386.33

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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.