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Finding the Fourth Proportional to 609.43, 914.12 and 176.57

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Solution

The fourth proportional to 609.43, 914.12 and 176.57 is: 264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.43 : 914.12 = 176.57 : x
  2. Step 2: Convert to fraction form
    609.43/914.12 = 176.57/x
  3. Step 3: Cross multiply
    609.43x = 914.12 × 176.57
  4. Step 4: Simplify right side
    609.43x = 161,405.29
  5. Step 5: Solve for x
    x = 161,405.29/609.43
  6. Step 6: Final answer
    x = 264.85

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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.