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Finding the Fourth Proportional to 609.14, 914.05 and 257.71

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Solution

The fourth proportional to 609.14, 914.05 and 257.71 is: 386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.14 : 914.05 = 257.71 : x
  2. Step 2: Convert to fraction form
    609.14/914.05 = 257.71/x
  3. Step 3: Cross multiply
    609.14x = 914.05 × 257.71
  4. Step 4: Simplify right side
    609.14x = 235,561.29
  5. Step 5: Solve for x
    x = 235,561.29/609.14
  6. Step 6: Final answer
    x = 386.71

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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.