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Finding the Fourth Proportional to 664.10, 994.80 and 419.76

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Solution

The fourth proportional to 664.10, 994.80 and 419.76 is: 628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.10 : 994.80 = 419.76 : x
  2. Step 2: Convert to fraction form
    664.10/994.80 = 419.76/x
  3. Step 3: Cross multiply
    664.10x = 994.80 × 419.76
  4. Step 4: Simplify right side
    664.10x = 417,577.25
  5. Step 5: Solve for x
    x = 417,577.25/664.10
  6. Step 6: Final answer
    x = 628.79

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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.