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Finding the Fourth Proportional to 447.69, 670.05 and 338.88

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Solution

The fourth proportional to 447.69, 670.05 and 338.88 is: 507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.69 : 670.05 = 338.88 : x
  2. Step 2: Convert to fraction form
    447.69/670.05 = 338.88/x
  3. Step 3: Cross multiply
    447.69x = 670.05 × 338.88
  4. Step 4: Simplify right side
    447.69x = 227,066.54
  5. Step 5: Solve for x
    x = 227,066.54/447.69
  6. Step 6: Final answer
    x = 507.20

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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.