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Finding the Fourth Proportional to 609.49, 914.28 and 176.64

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Solution

The fourth proportional to 609.49, 914.28 and 176.64 is: 264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.49 : 914.28 = 176.64 : x
  2. Step 2: Convert to fraction form
    609.49/914.28 = 176.64/x
  3. Step 3: Cross multiply
    609.49x = 914.28 × 176.64
  4. Step 4: Simplify right side
    609.49x = 161,498.42
  5. Step 5: Solve for x
    x = 161,498.42/609.49
  6. Step 6: Final answer
    x = 264.97

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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.