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Finding the Fourth Proportional to 298.29, 445.05 and 254.46

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Solution

The fourth proportional to 298.29, 445.05 and 254.46 is: 379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.29 : 445.05 = 254.46 : x
  2. Step 2: Convert to fraction form
    298.29/445.05 = 254.46/x
  3. Step 3: Cross multiply
    298.29x = 445.05 × 254.46
  4. Step 4: Simplify right side
    298.29x = 113,248.38
  5. Step 5: Solve for x
    x = 113,248.38/298.29
  6. Step 6: Final answer
    x = 379.66

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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.