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Finding the Fourth Proportional to 443.56, 665.76 and 238.30

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Solution

The fourth proportional to 443.56, 665.76 and 238.30 is: 357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.56 : 665.76 = 238.30 : x
  2. Step 2: Convert to fraction form
    443.56/665.76 = 238.30/x
  3. Step 3: Cross multiply
    443.56x = 665.76 × 238.30
  4. Step 4: Simplify right side
    443.56x = 158,650.61
  5. Step 5: Solve for x
    x = 158,650.61/443.56
  6. Step 6: Final answer
    x = 357.68

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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.