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Finding the Fourth Proportional to 393.56, 542.46 and 314.73

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Solution

The fourth proportional to 393.56, 542.46 and 314.73 is: 433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.56 : 542.46 = 314.73 : x
  2. Step 2: Convert to fraction form
    393.56/542.46 = 314.73/x
  3. Step 3: Cross multiply
    393.56x = 542.46 × 314.73
  4. Step 4: Simplify right side
    393.56x = 170,729.62
  5. Step 5: Solve for x
    x = 170,729.62/393.56
  6. Step 6: Final answer
    x = 433.81

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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.