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Finding the Fourth Proportional to 306.38, 461.60 and 278.62

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Solution

The fourth proportional to 306.38, 461.60 and 278.62 is: 419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.38 : 461.60 = 278.62 : x
  2. Step 2: Convert to fraction form
    306.38/461.60 = 278.62/x
  3. Step 3: Cross multiply
    306.38x = 461.60 × 278.62
  4. Step 4: Simplify right side
    306.38x = 128,610.99
  5. Step 5: Solve for x
    x = 128,610.99/306.38
  6. Step 6: Final answer
    x = 419.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.