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Finding the Fourth Proportional to 663.30, 996.48 and 417.26

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Solution

The fourth proportional to 663.30, 996.48 and 417.26 is: 626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.30 : 996.48 = 417.26 : x
  2. Step 2: Convert to fraction form
    663.30/996.48 = 417.26/x
  3. Step 3: Cross multiply
    663.30x = 996.48 × 417.26
  4. Step 4: Simplify right side
    663.30x = 415,793.74
  5. Step 5: Solve for x
    x = 415,793.74/663.30
  6. Step 6: Final answer
    x = 626.86

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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.