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Finding the Fourth Proportional to 609.26, 913.86 and 176.36

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Solution

The fourth proportional to 609.26, 913.86 and 176.36 is: 264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.26 : 913.86 = 176.36 : x
  2. Step 2: Convert to fraction form
    609.26/913.86 = 176.36/x
  3. Step 3: Cross multiply
    609.26x = 913.86 × 176.36
  4. Step 4: Simplify right side
    609.26x = 161,168.35
  5. Step 5: Solve for x
    x = 161,168.35/609.26
  6. Step 6: Final answer
    x = 264.53

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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.