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Finding the Fourth Proportional to 443.13, 664.49 and 237.65

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Solution

The fourth proportional to 443.13, 664.49 and 237.65 is: 356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.13 : 664.49 = 237.65 : x
  2. Step 2: Convert to fraction form
    443.13/664.49 = 237.65/x
  3. Step 3: Cross multiply
    443.13x = 664.49 × 237.65
  4. Step 4: Simplify right side
    443.13x = 157,911.54
  5. Step 5: Solve for x
    x = 157,911.54/443.13
  6. Step 6: Final answer
    x = 356.35

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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.