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Finding the Fourth Proportional to 443.44, 611.58 and 338.68

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Solution

The fourth proportional to 443.44, 611.58 and 338.68 is: 467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.44 : 611.58 = 338.68 : x
  2. Step 2: Convert to fraction form
    443.44/611.58 = 338.68/x
  3. Step 3: Cross multiply
    443.44x = 611.58 × 338.68
  4. Step 4: Simplify right side
    443.44x = 207,129.91
  5. Step 5: Solve for x
    x = 207,129.91/443.44
  6. Step 6: Final answer
    x = 467.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.