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Finding the Fourth Proportional to 306.54, 421.98 and 275.44

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Solution

The fourth proportional to 306.54, 421.98 and 275.44 is: 379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.54 : 421.98 = 275.44 : x
  2. Step 2: Convert to fraction form
    306.54/421.98 = 275.44/x
  3. Step 3: Cross multiply
    306.54x = 421.98 × 275.44
  4. Step 4: Simplify right side
    306.54x = 116,233.28
  5. Step 5: Solve for x
    x = 116,233.28/306.54
  6. Step 6: Final answer
    x = 379.18

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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.