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Finding the Fourth Proportional to 665.40, 997.70 and 299.69

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Solution

The fourth proportional to 665.40, 997.70 and 299.69 is: 449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.40 : 997.70 = 299.69 : x
  2. Step 2: Convert to fraction form
    665.40/997.70 = 299.69/x
  3. Step 3: Cross multiply
    665.40x = 997.70 × 299.69
  4. Step 4: Simplify right side
    665.40x = 299,000.71
  5. Step 5: Solve for x
    x = 299,000.71/665.40
  6. Step 6: Final answer
    x = 449.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.