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Finding the Fourth Proportional to 442.86, 664.29 and 154.30

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Solution

The fourth proportional to 442.86, 664.29 and 154.30 is: 231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.86 : 664.29 = 154.30 : x
  2. Step 2: Convert to fraction form
    442.86/664.29 = 154.30/x
  3. Step 3: Cross multiply
    442.86x = 664.29 × 154.30
  4. Step 4: Simplify right side
    442.86x = 102,496.63
  5. Step 5: Solve for x
    x = 102,496.63/442.86
  6. Step 6: Final answer
    x = 231.44

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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.