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Finding the Fourth Proportional to 429.60, 643.44 and 420.48

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Solution

The fourth proportional to 429.60, 643.44 and 420.48 is: 629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.60 : 643.44 = 420.48 : x
  2. Step 2: Convert to fraction form
    429.60/643.44 = 420.48/x
  3. Step 3: Cross multiply
    429.60x = 643.44 × 420.48
  4. Step 4: Simplify right side
    429.60x = 270,553.65
  5. Step 5: Solve for x
    x = 270,553.65/429.60
  6. Step 6: Final answer
    x = 629.78

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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.