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Finding the Fourth Proportional to 443.91, 664.85 and 340.41

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Solution

The fourth proportional to 443.91, 664.85 and 340.41 is: 509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.91 : 664.85 = 340.41 : x
  2. Step 2: Convert to fraction form
    443.91/664.85 = 340.41/x
  3. Step 3: Cross multiply
    443.91x = 664.85 × 340.41
  4. Step 4: Simplify right side
    443.91x = 226,324.93
  5. Step 5: Solve for x
    x = 226,324.93/443.91
  6. Step 6: Final answer
    x = 509.84

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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.