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Finding the Fourth Proportional to 306.27, 457.16 and 269.82

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Solution

The fourth proportional to 306.27, 457.16 and 269.82 is: 402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.27 : 457.16 = 269.82 : x
  2. Step 2: Convert to fraction form
    306.27/457.16 = 269.82/x
  3. Step 3: Cross multiply
    306.27x = 457.16 × 269.82
  4. Step 4: Simplify right side
    306.27x = 123,351.59
  5. Step 5: Solve for x
    x = 123,351.59/306.27
  6. Step 6: Final answer
    x = 402.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.