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Finding the Fourth Proportional to 664.84, 996.62 and 420.76

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Solution

The fourth proportional to 664.84, 996.62 and 420.76 is: 630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.84 : 996.62 = 420.76 : x
  2. Step 2: Convert to fraction form
    664.84/996.62 = 420.76/x
  3. Step 3: Cross multiply
    664.84x = 996.62 × 420.76
  4. Step 4: Simplify right side
    664.84x = 419,337.83
  5. Step 5: Solve for x
    x = 419,337.83/664.84
  6. Step 6: Final answer
    x = 630.73

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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.