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Finding the Fourth Proportional to 443.82, 666.09 and 341.34

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Solution

The fourth proportional to 443.82, 666.09 and 341.34 is: 512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.82 : 666.09 = 341.34 : x
  2. Step 2: Convert to fraction form
    443.82/666.09 = 341.34/x
  3. Step 3: Cross multiply
    443.82x = 666.09 × 341.34
  4. Step 4: Simplify right side
    443.82x = 227,363.16
  5. Step 5: Solve for x
    x = 227,363.16/443.82
  6. Step 6: Final answer
    x = 512.29

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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.