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Finding the Fourth Proportional to 442.92, 663.78 and 429.78

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Solution

The fourth proportional to 442.92, 663.78 and 429.78 is: 644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.92 : 663.78 = 429.78 : x
  2. Step 2: Convert to fraction form
    442.92/663.78 = 429.78/x
  3. Step 3: Cross multiply
    442.92x = 663.78 × 429.78
  4. Step 4: Simplify right side
    442.92x = 285,279.37
  5. Step 5: Solve for x
    x = 285,279.37/442.92
  6. Step 6: Final answer
    x = 644.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.