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Finding the Fourth Proportional to 367.05, 506.25 and 256.41

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Solution

The fourth proportional to 367.05, 506.25 and 256.41 is: 353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.05 : 506.25 = 256.41 : x
  2. Step 2: Convert to fraction form
    367.05/506.25 = 256.41/x
  3. Step 3: Cross multiply
    367.05x = 506.25 × 256.41
  4. Step 4: Simplify right side
    367.05x = 129,807.56
  5. Step 5: Solve for x
    x = 129,807.56/367.05
  6. Step 6: Final answer
    x = 353.65

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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.