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Finding the Fourth Proportional to 665.01, 997.47 and 299.61

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Solution

The fourth proportional to 665.01, 997.47 and 299.61 is: 449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.01 : 997.47 = 299.61 : x
  2. Step 2: Convert to fraction form
    665.01/997.47 = 299.61/x
  3. Step 3: Cross multiply
    665.01x = 997.47 × 299.61
  4. Step 4: Simplify right side
    665.01x = 298,851.99
  5. Step 5: Solve for x
    x = 298,851.99/665.01
  6. Step 6: Final answer
    x = 449.39

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Why These Related Problems?

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