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Finding the Fourth Proportional to 443.12, 665.22 and 420.44

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Solution

The fourth proportional to 443.12, 665.22 and 420.44 is: 631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.12 : 665.22 = 420.44 : x
  2. Step 2: Convert to fraction form
    443.12/665.22 = 420.44/x
  3. Step 3: Cross multiply
    443.12x = 665.22 × 420.44
  4. Step 4: Simplify right side
    443.12x = 279,685.10
  5. Step 5: Solve for x
    x = 279,685.10/443.12
  6. Step 6: Final answer
    x = 631.17

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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.