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Finding the Fourth Proportional to 665.40, 996.08 and 421.60

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Solution

The fourth proportional to 665.40, 996.08 and 421.60 is: 631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.40 : 996.08 = 421.60 : x
  2. Step 2: Convert to fraction form
    665.40/996.08 = 421.60/x
  3. Step 3: Cross multiply
    665.40x = 996.08 × 421.60
  4. Step 4: Simplify right side
    665.40x = 419,947.33
  5. Step 5: Solve for x
    x = 419,947.33/665.40
  6. Step 6: Final answer
    x = 631.12

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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.