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Finding the Fourth Proportional to 339.05, 507.67 and 270.41

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Solution

The fourth proportional to 339.05, 507.67 and 270.41 is: 404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.05 : 507.67 = 270.41 : x
  2. Step 2: Convert to fraction form
    339.05/507.67 = 270.41/x
  3. Step 3: Cross multiply
    339.05x = 507.67 × 270.41
  4. Step 4: Simplify right side
    339.05x = 137,275.83
  5. Step 5: Solve for x
    x = 137,275.83/339.05
  6. Step 6: Final answer
    x = 404.88

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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.