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Finding the Fourth Proportional to 393.75, 542.84 and 306.27

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Solution

The fourth proportional to 393.75, 542.84 and 306.27 is: 422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.75 : 542.84 = 306.27 : x
  2. Step 2: Convert to fraction form
    393.75/542.84 = 306.27/x
  3. Step 3: Cross multiply
    393.75x = 542.84 × 306.27
  4. Step 4: Simplify right side
    393.75x = 166,254.08
  5. Step 5: Solve for x
    x = 166,254.08/393.75
  6. Step 6: Final answer
    x = 422.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.