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Finding the Fourth Proportional to 443.06, 665.09 and 237.57

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Solution

The fourth proportional to 443.06, 665.09 and 237.57 is: 356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.06 : 665.09 = 237.57 : x
  2. Step 2: Convert to fraction form
    443.06/665.09 = 237.57/x
  3. Step 3: Cross multiply
    443.06x = 665.09 × 237.57
  4. Step 4: Simplify right side
    443.06x = 158,004.24
  5. Step 5: Solve for x
    x = 158,004.24/443.06
  6. Step 6: Final answer
    x = 356.62

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Why These Related Problems?

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