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Finding the Fourth Proportional to 649.17, 973.40 and 443.97

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Solution

The fourth proportional to 649.17, 973.40 and 443.97 is: 665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.17 : 973.40 = 443.97 : x
  2. Step 2: Convert to fraction form
    649.17/973.40 = 443.97/x
  3. Step 3: Cross multiply
    649.17x = 973.40 × 443.97
  4. Step 4: Simplify right side
    649.17x = 432,160.40
  5. Step 5: Solve for x
    x = 432,160.40/649.17
  6. Step 6: Final answer
    x = 665.71

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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.