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Finding the Fourth Proportional to 609.92, 911.09 and 588.32

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Solution

The fourth proportional to 609.92, 911.09 and 588.32 is: 878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.92 : 911.09 = 588.32 : x
  2. Step 2: Convert to fraction form
    609.92/911.09 = 588.32/x
  3. Step 3: Cross multiply
    609.92x = 911.09 × 588.32
  4. Step 4: Simplify right side
    609.92x = 536,012.47
  5. Step 5: Solve for x
    x = 536,012.47/609.92
  6. Step 6: Final answer
    x = 878.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.