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Finding the Fourth Proportional to 665.22, 997.09 and 434.28

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Solution

The fourth proportional to 665.22, 997.09 and 434.28 is: 650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.22 : 997.09 = 434.28 : x
  2. Step 2: Convert to fraction form
    665.22/997.09 = 434.28/x
  3. Step 3: Cross multiply
    665.22x = 997.09 × 434.28
  4. Step 4: Simplify right side
    665.22x = 433,016.25
  5. Step 5: Solve for x
    x = 433,016.25/665.22
  6. Step 6: Final answer
    x = 650.94

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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.