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Finding the Fourth Proportional to 393.02, 542.43 and 227.24

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Solution

The fourth proportional to 393.02, 542.43 and 227.24 is: 313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.02 : 542.43 = 227.24 : x
  2. Step 2: Convert to fraction form
    393.02/542.43 = 227.24/x
  3. Step 3: Cross multiply
    393.02x = 542.43 × 227.24
  4. Step 4: Simplify right side
    393.02x = 123,261.12
  5. Step 5: Solve for x
    x = 123,261.12/393.02
  6. Step 6: Final answer
    x = 313.63

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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.