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Finding the Fourth Proportional to 663.31, 993.48 and 419.32

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Solution

The fourth proportional to 663.31, 993.48 and 419.32 is: 628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.31 : 993.48 = 419.32 : x
  2. Step 2: Convert to fraction form
    663.31/993.48 = 419.32/x
  3. Step 3: Cross multiply
    663.31x = 993.48 × 419.32
  4. Step 4: Simplify right side
    663.31x = 416,586.03
  5. Step 5: Solve for x
    x = 416,586.03/663.31
  6. Step 6: Final answer
    x = 628.04

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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.