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Finding the Fourth Proportional to 442.05, 662.32 and 304.61

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Solution

The fourth proportional to 442.05, 662.32 and 304.61 is: 456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.05 : 662.32 = 304.61 : x
  2. Step 2: Convert to fraction form
    442.05/662.32 = 304.61/x
  3. Step 3: Cross multiply
    442.05x = 662.32 × 304.61
  4. Step 4: Simplify right side
    442.05x = 201,748.85
  5. Step 5: Solve for x
    x = 201,748.85/442.05
  6. Step 6: Final answer
    x = 456.39

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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.