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Finding the Fourth Proportional to 443.35, 665.02 and 394.82

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Solution

The fourth proportional to 443.35, 665.02 and 394.82 is: 592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.35 : 665.02 = 394.82 : x
  2. Step 2: Convert to fraction form
    443.35/665.02 = 394.82/x
  3. Step 3: Cross multiply
    443.35x = 665.02 × 394.82
  4. Step 4: Simplify right side
    443.35x = 262,563.20
  5. Step 5: Solve for x
    x = 262,563.20/443.35
  6. Step 6: Final answer
    x = 592.23

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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.