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Finding the Fourth Proportional to 443.50, 665.44 and 238.02

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Solution

The fourth proportional to 443.50, 665.44 and 238.02 is: 357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.50 : 665.44 = 238.02 : x
  2. Step 2: Convert to fraction form
    443.50/665.44 = 238.02/x
  3. Step 3: Cross multiply
    443.50x = 665.44 × 238.02
  4. Step 4: Simplify right side
    443.50x = 158,388.03
  5. Step 5: Solve for x
    x = 158,388.03/443.50
  6. Step 6: Final answer
    x = 357.13

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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.