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Finding the Fourth Proportional to 372.41, 558.28 and 227.82

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Solution

The fourth proportional to 372.41, 558.28 and 227.82 is: 341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.41 : 558.28 = 227.82 : x
  2. Step 2: Convert to fraction form
    372.41/558.28 = 227.82/x
  3. Step 3: Cross multiply
    372.41x = 558.28 × 227.82
  4. Step 4: Simplify right side
    372.41x = 127,187.35
  5. Step 5: Solve for x
    x = 127,187.35/372.41
  6. Step 6: Final answer
    x = 341.53

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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.