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Finding the Fourth Proportional to 447.54, 665.90 and 436.38

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Solution

The fourth proportional to 447.54, 665.90 and 436.38 is: 649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.54 : 665.90 = 436.38 : x
  2. Step 2: Convert to fraction form
    447.54/665.90 = 436.38/x
  3. Step 3: Cross multiply
    447.54x = 665.90 × 436.38
  4. Step 4: Simplify right side
    447.54x = 290,583.26
  5. Step 5: Solve for x
    x = 290,583.26/447.54
  6. Step 6: Final answer
    x = 649.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.