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Finding the Fourth Proportional to 367.10, 506.08 and 256.24

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Solution

The fourth proportional to 367.10, 506.08 and 256.24 is: 353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.10 : 506.08 = 256.24 : x
  2. Step 2: Convert to fraction form
    367.10/506.08 = 256.24/x
  3. Step 3: Cross multiply
    367.10x = 506.08 × 256.24
  4. Step 4: Simplify right side
    367.10x = 129,677.94
  5. Step 5: Solve for x
    x = 129,677.94/367.10
  6. Step 6: Final answer
    x = 353.25

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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.