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Finding the Fourth Proportional to 442.85, 664.61 and 237.47

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Solution

The fourth proportional to 442.85, 664.61 and 237.47 is: 356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.85 : 664.61 = 237.47 : x
  2. Step 2: Convert to fraction form
    442.85/664.61 = 237.47/x
  3. Step 3: Cross multiply
    442.85x = 664.61 × 237.47
  4. Step 4: Simplify right side
    442.85x = 157,820.43
  5. Step 5: Solve for x
    x = 157,820.43/442.85
  6. Step 6: Final answer
    x = 356.38

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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.