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Finding the Fourth Proportional to 443.61, 665.06 and 297.41

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Solution

The fourth proportional to 443.61, 665.06 and 297.41 is: 445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.61 : 665.06 = 297.41 : x
  2. Step 2: Convert to fraction form
    443.61/665.06 = 297.41/x
  3. Step 3: Cross multiply
    443.61x = 665.06 × 297.41
  4. Step 4: Simplify right side
    443.61x = 197,790.68
  5. Step 5: Solve for x
    x = 197,790.68/443.61
  6. Step 6: Final answer
    x = 445.87

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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.