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Finding the Fourth Proportional to 367.88, 507.76 and 254.48

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Solution

The fourth proportional to 367.88, 507.76 and 254.48 is: 351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 507.76 = 254.48 : x
  2. Step 2: Convert to fraction form
    367.88/507.76 = 254.48/x
  3. Step 3: Cross multiply
    367.88x = 507.76 × 254.48
  4. Step 4: Simplify right side
    367.88x = 129,213.02
  5. Step 5: Solve for x
    x = 129,213.02/367.88
  6. Step 6: Final answer
    x = 351.24

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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.