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Finding the Fourth Proportional to 367.72, 507.44 and 257.12

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Solution

The fourth proportional to 367.72, 507.44 and 257.12 is: 354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.72 : 507.44 = 257.12 : x
  2. Step 2: Convert to fraction form
    367.72/507.44 = 257.12/x
  3. Step 3: Cross multiply
    367.72x = 507.44 × 257.12
  4. Step 4: Simplify right side
    367.72x = 130,472.97
  5. Step 5: Solve for x
    x = 130,472.97/367.72
  6. Step 6: Final answer
    x = 354.82

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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.