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Finding the Fourth Proportional to 354.50, 490.17 and 299.90

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Solution

The fourth proportional to 354.50, 490.17 and 299.90 is: 414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.50 : 490.17 = 299.90 : x
  2. Step 2: Convert to fraction form
    354.50/490.17 = 299.90/x
  3. Step 3: Cross multiply
    354.50x = 490.17 × 299.90
  4. Step 4: Simplify right side
    354.50x = 147,001.98
  5. Step 5: Solve for x
    x = 147,001.98/354.50
  6. Step 6: Final answer
    x = 414.67

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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.