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Finding the Fourth Proportional to 665.07, 997.94 and 448.19

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Solution

The fourth proportional to 665.07, 997.94 and 448.19 is: 672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.07 : 997.94 = 448.19 : x
  2. Step 2: Convert to fraction form
    665.07/997.94 = 448.19/x
  3. Step 3: Cross multiply
    665.07x = 997.94 × 448.19
  4. Step 4: Simplify right side
    665.07x = 447,266.73
  5. Step 5: Solve for x
    x = 447,266.73/665.07
  6. Step 6: Final answer
    x = 672.51

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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.